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Finding the Fourth Proportional to 678,402.60, 1,017,603.90 and 412,981.80

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Solution

The fourth proportional to 678,402.60, 1,017,603.90 and 412,981.80 is: 619,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,402.60 : 1,017,603.90 = 412,981.80 : x
  2. Step 2: Convert to fraction form
    678,402.60/1,017,603.90 = 412,981.80/x
  3. Step 3: Cross multiply
    678,402.60x = 1,017,603.90 × 412,981.80
  4. Step 4: Simplify right side
    678,402.60x = 420,251,890,309.02
  5. Step 5: Solve for x
    x = 420,251,890,309.02/678,402.60
  6. Step 6: Final answer
    x = 619,472.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.