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Finding the Fourth Proportional to 631,534.76, 871,904.18 and 410,982.20

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Solution

The fourth proportional to 631,534.76, 871,904.18 and 410,982.20 is: 567,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,534.76 : 871,904.18 = 410,982.20 : x
  2. Step 2: Convert to fraction form
    631,534.76/871,904.18 = 410,982.20/x
  3. Step 3: Cross multiply
    631,534.76x = 871,904.18 × 410,982.20
  4. Step 4: Simplify right side
    631,534.76x = 358,337,098,023.17
  5. Step 5: Solve for x
    x = 358,337,098,023.17/631,534.76
  6. Step 6: Final answer
    x = 567,406.77

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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.