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Finding the Fourth Proportional to 585,534.80, 878,302.20 and 142,302.80

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Solution

The fourth proportional to 585,534.80, 878,302.20 and 142,302.80 is: 213,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,534.80 : 878,302.20 = 142,302.80 : x
  2. Step 2: Convert to fraction form
    585,534.80/878,302.20 = 142,302.80/x
  3. Step 3: Cross multiply
    585,534.80x = 878,302.20 × 142,302.80
  4. Step 4: Simplify right side
    585,534.80x = 124,984,862,306.16
  5. Step 5: Solve for x
    x = 124,984,862,306.16/585,534.80
  6. Step 6: Final answer
    x = 213,454.20

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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.