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Finding the Fourth Proportional to 564,831.28, 779,272.24 and 361,001.48

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Solution

The fourth proportional to 564,831.28, 779,272.24 and 361,001.48 is: 498,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,831.28 : 779,272.24 = 361,001.48 : x
  2. Step 2: Convert to fraction form
    564,831.28/779,272.24 = 361,001.48/x
  3. Step 3: Cross multiply
    564,831.28x = 779,272.24 × 361,001.48
  4. Step 4: Simplify right side
    564,831.28x = 281,318,431,962.92
  5. Step 5: Solve for x
    x = 281,318,431,962.92/564,831.28
  6. Step 6: Final answer
    x = 498,057.46

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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.