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Finding the Fourth Proportional to 285,430.52, 428,129.30 and 85,746.52

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Solution

The fourth proportional to 285,430.52, 428,129.30 and 85,746.52 is: 128,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,430.52 : 428,129.30 = 85,746.52 : x
  2. Step 2: Convert to fraction form
    285,430.52/428,129.30 = 85,746.52/x
  3. Step 3: Cross multiply
    285,430.52x = 428,129.30 × 85,746.52
  4. Step 4: Simplify right side
    285,430.52x = 36,710,597,585.04
  5. Step 5: Solve for x
    x = 36,710,597,585.04/285,430.52
  6. Step 6: Final answer
    x = 128,614.83

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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.