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Finding the Fourth Proportional to 411,451.40, 618,098.70 and 394,657.80

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Solution

The fourth proportional to 411,451.40, 618,098.70 and 394,657.80 is: 592,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,451.40 : 618,098.70 = 394,657.80 : x
  2. Step 2: Convert to fraction form
    411,451.40/618,098.70 = 394,657.80/x
  3. Step 3: Cross multiply
    411,451.40x = 618,098.70 × 394,657.80
  4. Step 4: Simplify right side
    411,451.40x = 243,937,473,124.86
  5. Step 5: Solve for x
    x = 243,937,473,124.86/411,451.40
  6. Step 6: Final answer
    x = 592,870.68

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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.