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Finding the Fourth Proportional to 469,902.65, 648,466.20 and 255,042.77

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Solution

The fourth proportional to 469,902.65, 648,466.20 and 255,042.77 is: 351,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,902.65 : 648,466.20 = 255,042.77 : x
  2. Step 2: Convert to fraction form
    469,902.65/648,466.20 = 255,042.77/x
  3. Step 3: Cross multiply
    469,902.65x = 648,466.20 × 255,042.77
  4. Step 4: Simplify right side
    469,902.65x = 165,386,612,657.04
  5. Step 5: Solve for x
    x = 165,386,612,657.04/469,902.65
  6. Step 6: Final answer
    x = 351,959.31

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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.