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Finding the Fourth Proportional to 712,191.95, 982,949.12 and 421,966.92

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Solution

The fourth proportional to 712,191.95, 982,949.12 and 421,966.92 is: 582,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,191.95 : 982,949.12 = 421,966.92 : x
  2. Step 2: Convert to fraction form
    712,191.95/982,949.12 = 421,966.92/x
  3. Step 3: Cross multiply
    712,191.95x = 982,949.12 × 421,966.92
  4. Step 4: Simplify right side
    712,191.95x = 414,772,013,738.03
  5. Step 5: Solve for x
    x = 414,772,013,738.03/712,191.95
  6. Step 6: Final answer
    x = 582,387.95

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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.