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Finding the Fourth Proportional to 515,691.62, 711,666.70 and 289,353.86

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Solution

The fourth proportional to 515,691.62, 711,666.70 and 289,353.86 is: 399,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,691.62 : 711,666.70 = 289,353.86 : x
  2. Step 2: Convert to fraction form
    515,691.62/711,666.70 = 289,353.86/x
  3. Step 3: Cross multiply
    515,691.62x = 711,666.70 × 289,353.86
  4. Step 4: Simplify right side
    515,691.62x = 205,923,506,678.46
  5. Step 5: Solve for x
    x = 205,923,506,678.46/515,691.62
  6. Step 6: Final answer
    x = 399,315.21

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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.