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Finding the Fourth Proportional to 537,697.20, 806,545.80 and 514,077.60

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Solution

The fourth proportional to 537,697.20, 806,545.80 and 514,077.60 is: 771,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,697.20 : 806,545.80 = 514,077.60 : x
  2. Step 2: Convert to fraction form
    537,697.20/806,545.80 = 514,077.60/x
  3. Step 3: Cross multiply
    537,697.20x = 806,545.80 × 514,077.60
  4. Step 4: Simplify right side
    537,697.20x = 414,627,129,154.08
  5. Step 5: Solve for x
    x = 414,627,129,154.08/537,697.20
  6. Step 6: Final answer
    x = 771,116.40

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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.