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Finding the Fourth Proportional to 374,151.88, 516,310.32 and 204,353.20

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Solution

The fourth proportional to 374,151.88, 516,310.32 and 204,353.20 is: 281,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,151.88 : 516,310.32 = 204,353.20 : x
  2. Step 2: Convert to fraction form
    374,151.88/516,310.32 = 204,353.20/x
  3. Step 3: Cross multiply
    374,151.88x = 516,310.32 × 204,353.20
  4. Step 4: Simplify right side
    374,151.88x = 105,509,666,085.02
  5. Step 5: Solve for x
    x = 105,509,666,085.02/374,151.88
  6. Step 6: Final answer
    x = 281,996.89

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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.