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Finding the Fourth Proportional to 411,001.56, 567,171 and 229,714.92

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Solution

The fourth proportional to 411,001.56, 567,171 and 229,714.92 is: 317,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,001.56 : 567,171 = 229,714.92 : x
  2. Step 2: Convert to fraction form
    411,001.56/567,171 = 229,714.92/x
  3. Step 3: Cross multiply
    411,001.56x = 567,171 × 229,714.92
  4. Step 4: Simplify right side
    411,001.56x = 130,287,640,891.32
  5. Step 5: Solve for x
    x = 130,287,640,891.32/411,001.56
  6. Step 6: Final answer
    x = 317,000.36

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1.5x scale

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.