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Finding the Fourth Proportional to 316,909.38, 475,044.18 and 198,663.78

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Solution

The fourth proportional to 316,909.38, 475,044.18 and 198,663.78 is: 297,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,909.38 : 475,044.18 = 198,663.78 : x
  2. Step 2: Convert to fraction form
    316,909.38/475,044.18 = 198,663.78/x
  3. Step 3: Cross multiply
    316,909.38x = 475,044.18 × 198,663.78
  4. Step 4: Simplify right side
    316,909.38x = 94,374,072,465.80
  5. Step 5: Solve for x
    x = 94,374,072,465.80/316,909.38
  6. Step 6: Final answer
    x = 297,795.14

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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.