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Finding the Fourth Proportional to 467,714.66, 645,445.67 and 252,854.06

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Solution

The fourth proportional to 467,714.66, 645,445.67 and 252,854.06 is: 348,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,714.66 : 645,445.67 = 252,854.06 : x
  2. Step 2: Convert to fraction form
    467,714.66/645,445.67 = 252,854.06/x
  3. Step 3: Cross multiply
    467,714.66x = 645,445.67 × 252,854.06
  4. Step 4: Simplify right side
    467,714.66x = 163,203,553,677.42
  5. Step 5: Solve for x
    x = 163,203,553,677.42/467,714.66
  6. Step 6: Final answer
    x = 348,938.29

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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.