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Finding the Fourth Proportional to 408,023.10, 612,034.65 and 282,051.90

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Solution

The fourth proportional to 408,023.10, 612,034.65 and 282,051.90 is: 423,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.10 : 612,034.65 = 282,051.90 : x
  2. Step 2: Convert to fraction form
    408,023.10/612,034.65 = 282,051.90/x
  3. Step 3: Cross multiply
    408,023.10x = 612,034.65 × 282,051.90
  4. Step 4: Simplify right side
    408,023.10x = 172,625,535,898.34
  5. Step 5: Solve for x
    x = 172,625,535,898.34/408,023.10
  6. Step 6: Final answer
    x = 423,077.85

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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.