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Finding the Fourth Proportional to 469,906.08, 648,470.96 and 255,046.20

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Solution

The fourth proportional to 469,906.08, 648,470.96 and 255,046.20 is: 351,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,906.08 : 648,470.96 = 255,046.20 : x
  2. Step 2: Convert to fraction form
    469,906.08/648,470.96 = 255,046.20/x
  3. Step 3: Cross multiply
    469,906.08x = 648,470.96 × 255,046.20
  4. Step 4: Simplify right side
    469,906.08x = 165,390,054,158.35
  5. Step 5: Solve for x
    x = 165,390,054,158.35/469,906.08
  6. Step 6: Final answer
    x = 351,964.07

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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.