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Finding the Fourth Proportional to 408,831.60, 564,182.01 and 227,543.63

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Solution

The fourth proportional to 408,831.60, 564,182.01 and 227,543.63 is: 314,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,831.60 : 564,182.01 = 227,543.63 : x
  2. Step 2: Convert to fraction form
    408,831.60/564,182.01 = 227,543.63/x
  3. Step 3: Cross multiply
    408,831.60x = 564,182.01 × 227,543.63
  4. Step 4: Simplify right side
    408,831.60x = 128,376,022,888.71
  5. Step 5: Solve for x
    x = 128,376,022,888.71/408,831.60
  6. Step 6: Final answer
    x = 314,007.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.