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Finding the Fourth Proportional to 374,146.32, 516,333.24 and 204,391.38

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Solution

The fourth proportional to 374,146.32, 516,333.24 and 204,391.38 is: 282,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,146.32 : 516,333.24 = 204,391.38 : x
  2. Step 2: Convert to fraction form
    374,146.32/516,333.24 = 204,391.38/x
  3. Step 3: Cross multiply
    374,146.32x = 516,333.24 × 204,391.38
  4. Step 4: Simplify right side
    374,146.32x = 105,534,063,463.47
  5. Step 5: Solve for x
    x = 105,534,063,463.47/374,146.32
  6. Step 6: Final answer
    x = 282,066.29

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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.