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Finding the Fourth Proportional to 454,071.40, 681,763.20 and 342,534.40

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Solution

The fourth proportional to 454,071.40, 681,763.20 and 342,534.40 is: 514,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,071.40 : 681,763.20 = 342,534.40 : x
  2. Step 2: Convert to fraction form
    454,071.40/681,763.20 = 342,534.40/x
  3. Step 3: Cross multiply
    454,071.40x = 681,763.20 × 342,534.40
  4. Step 4: Simplify right side
    454,071.40x = 233,527,348,654.08
  5. Step 5: Solve for x
    x = 233,527,348,654.08/454,071.40
  6. Step 6: Final answer
    x = 514,296.54

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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.