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Finding the Fourth Proportional to 507,414.55, 761,192.90 and 207,937.70

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Solution

The fourth proportional to 507,414.55, 761,192.90 and 207,937.70 is: 311,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,414.55 : 761,192.90 = 207,937.70 : x
  2. Step 2: Convert to fraction form
    507,414.55/761,192.90 = 207,937.70/x
  3. Step 3: Cross multiply
    507,414.55x = 761,192.90 × 207,937.70
  4. Step 4: Simplify right side
    507,414.55x = 158,280,699,842.64
  5. Step 5: Solve for x
    x = 158,280,699,842.64/507,414.55
  6. Step 6: Final answer
    x = 311,935.68

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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.