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Finding the Fourth Proportional to 585,349.60, 878,024.40 and 142,117.60

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Solution

The fourth proportional to 585,349.60, 878,024.40 and 142,117.60 is: 213,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,349.60 : 878,024.40 = 142,117.60 : x
  2. Step 2: Convert to fraction form
    585,349.60/878,024.40 = 142,117.60/x
  3. Step 3: Cross multiply
    585,349.60x = 878,024.40 × 142,117.60
  4. Step 4: Simplify right side
    585,349.60x = 124,782,720,469.44
  5. Step 5: Solve for x
    x = 124,782,720,469.44/585,349.60
  6. Step 6: Final answer
    x = 213,176.40

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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.