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Finding the Fourth Proportional to 631,565.80, 871,946.94 and 411,013.24

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Solution

The fourth proportional to 631,565.80, 871,946.94 and 411,013.24 is: 567,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,565.80 : 871,946.94 = 411,013.24 : x
  2. Step 2: Convert to fraction form
    631,565.80/871,946.94 = 411,013.24/x
  3. Step 3: Cross multiply
    631,565.80x = 871,946.94 × 411,013.24
  4. Step 4: Simplify right side
    631,565.80x = 358,381,736,917.49
  5. Step 5: Solve for x
    x = 358,381,736,917.49/631,565.80
  6. Step 6: Final answer
    x = 567,449.56

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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.