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Finding the Fourth Proportional to 462,034.20, 693,051.30 and 302,601.90

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Solution

The fourth proportional to 462,034.20, 693,051.30 and 302,601.90 is: 453,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,034.20 : 693,051.30 = 302,601.90 : x
  2. Step 2: Convert to fraction form
    462,034.20/693,051.30 = 302,601.90/x
  3. Step 3: Cross multiply
    462,034.20x = 693,051.30 × 302,601.90
  4. Step 4: Simplify right side
    462,034.20x = 209,718,640,177.47
  5. Step 5: Solve for x
    x = 209,718,640,177.47/462,034.20
  6. Step 6: Final answer
    x = 453,902.85

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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.