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Finding the Fourth Proportional to 469,932.57, 648,508.14 and 255,072.65

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Solution

The fourth proportional to 469,932.57, 648,508.14 and 255,072.65 is: 352,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,932.57 : 648,508.14 = 255,072.65 : x
  2. Step 2: Convert to fraction form
    469,932.57/648,508.14 = 255,072.65/x
  3. Step 3: Cross multiply
    469,932.57x = 648,508.14 × 255,072.65
  4. Step 4: Simplify right side
    469,932.57x = 165,416,686,573.83
  5. Step 5: Solve for x
    x = 165,416,686,573.83/469,932.57
  6. Step 6: Final answer
    x = 352,000.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.