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Finding the Fourth Proportional to 415,984.28, 574,061.15 and 263,088.38

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Solution

The fourth proportional to 415,984.28, 574,061.15 and 263,088.38 is: 363,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,984.28 : 574,061.15 = 263,088.38 : x
  2. Step 2: Convert to fraction form
    415,984.28/574,061.15 = 263,088.38/x
  3. Step 3: Cross multiply
    415,984.28x = 574,061.15 × 263,088.38
  4. Step 4: Simplify right side
    415,984.28x = 151,028,820,067.31
  5. Step 5: Solve for x
    x = 151,028,820,067.31/415,984.28
  6. Step 6: Final answer
    x = 363,063.77

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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.