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Finding the Fourth Proportional to 308,781.38, 463,304.54 and 119,374.76

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Solution

The fourth proportional to 308,781.38, 463,304.54 and 119,374.76 is: 179,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,781.38 : 463,304.54 = 119,374.76 : x
  2. Step 2: Convert to fraction form
    308,781.38/463,304.54 = 119,374.76/x
  3. Step 3: Cross multiply
    308,781.38x = 463,304.54 × 119,374.76
  4. Step 4: Simplify right side
    308,781.38x = 55,306,865,356.01
  5. Step 5: Solve for x
    x = 55,306,865,356.01/308,781.38
  6. Step 6: Final answer
    x = 179,113.35

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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.