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Finding the Fourth Proportional to 524,077.66, 723,229.59 and 297,735.58

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Solution

The fourth proportional to 524,077.66, 723,229.59 and 297,735.58 is: 410,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,077.66 : 723,229.59 = 297,735.58 : x
  2. Step 2: Convert to fraction form
    524,077.66/723,229.59 = 297,735.58/x
  3. Step 3: Cross multiply
    524,077.66x = 723,229.59 × 297,735.58
  4. Step 4: Simplify right side
    524,077.66x = 215,331,181,451.81
  5. Step 5: Solve for x
    x = 215,331,181,451.81/524,077.66
  6. Step 6: Final answer
    x = 410,876.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.