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Finding the Fourth Proportional to 463,462.20, 695,193.30 and 410,974.20

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Solution

The fourth proportional to 463,462.20, 695,193.30 and 410,974.20 is: 616,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,462.20 : 695,193.30 = 410,974.20 : x
  2. Step 2: Convert to fraction form
    463,462.20/695,193.30 = 410,974.20/x
  3. Step 3: Cross multiply
    463,462.20x = 695,193.30 × 410,974.20
  4. Step 4: Simplify right side
    463,462.20x = 285,706,510,312.86
  5. Step 5: Solve for x
    x = 285,706,510,312.86/463,462.20
  6. Step 6: Final answer
    x = 616,461.30

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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.