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Finding the Fourth Proportional to 585,375.60, 878,063.40 and 142,143.60

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Solution

The fourth proportional to 585,375.60, 878,063.40 and 142,143.60 is: 213,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,375.60 : 878,063.40 = 142,143.60 : x
  2. Step 2: Convert to fraction form
    585,375.60/878,063.40 = 142,143.60/x
  3. Step 3: Cross multiply
    585,375.60x = 878,063.40 × 142,143.60
  4. Step 4: Simplify right side
    585,375.60x = 124,811,092,704.24
  5. Step 5: Solve for x
    x = 124,811,092,704.24/585,375.60
  6. Step 6: Final answer
    x = 213,215.40

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Why These Related Problems?

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