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Finding the Fourth Proportional to 524,579.70, 786,869.55 and 410,418.30

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Solution

The fourth proportional to 524,579.70, 786,869.55 and 410,418.30 is: 615,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,579.70 : 786,869.55 = 410,418.30 : x
  2. Step 2: Convert to fraction form
    524,579.70/786,869.55 = 410,418.30/x
  3. Step 3: Cross multiply
    524,579.70x = 786,869.55 × 410,418.30
  4. Step 4: Simplify right side
    524,579.70x = 322,945,663,032.77
  5. Step 5: Solve for x
    x = 322,945,663,032.77/524,579.70
  6. Step 6: Final answer
    x = 615,627.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.