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Finding the Fourth Proportional to 407,714.10, 611,352.45 and 170,789.10

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Solution

The fourth proportional to 407,714.10, 611,352.45 and 170,789.10 is: 256,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.10 : 611,352.45 = 170,789.10 : x
  2. Step 2: Convert to fraction form
    407,714.10/611,352.45 = 170,789.10/x
  3. Step 3: Cross multiply
    407,714.10x = 611,352.45 × 170,789.10
  4. Step 4: Simplify right side
    407,714.10x = 104,412,334,718.30
  5. Step 5: Solve for x
    x = 104,412,334,718.30/407,714.10
  6. Step 6: Final answer
    x = 256,092.04

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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.