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Finding the Fourth Proportional to 537,762, 806,587.11 and 337,488.69

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Solution

The fourth proportional to 537,762, 806,587.11 and 337,488.69 is: 506,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,762 : 806,587.11 = 337,488.69 : x
  2. Step 2: Convert to fraction form
    537,762/806,587.11 = 337,488.69/x
  3. Step 3: Cross multiply
    537,762x = 806,587.11 × 337,488.69
  4. Step 4: Simplify right side
    537,762x = 272,214,027,124.79
  5. Step 5: Solve for x
    x = 272,214,027,124.79/537,762
  6. Step 6: Final answer
    x = 506,197.96

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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.