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Finding the Fourth Proportional to 524,109.28, 723,290.16 and 297,793.12

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Solution

The fourth proportional to 524,109.28, 723,290.16 and 297,793.12 is: 410,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,109.28 : 723,290.16 = 297,793.12 : x
  2. Step 2: Convert to fraction form
    524,109.28/723,290.16 = 297,793.12/x
  3. Step 3: Cross multiply
    524,109.28x = 723,290.16 × 297,793.12
  4. Step 4: Simplify right side
    524,109.28x = 215,390,833,411.70
  5. Step 5: Solve for x
    x = 215,390,833,411.70/524,109.28
  6. Step 6: Final answer
    x = 410,965.50

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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.