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Finding the Fourth Proportional to 417,691.73, 576,415.16 and 226,705.14

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Solution

The fourth proportional to 417,691.73, 576,415.16 and 226,705.14 is: 312,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,691.73 : 576,415.16 = 226,705.14 : x
  2. Step 2: Convert to fraction form
    417,691.73/576,415.16 = 226,705.14/x
  3. Step 3: Cross multiply
    417,691.73x = 576,415.16 × 226,705.14
  4. Step 4: Simplify right side
    417,691.73x = 130,676,280,112.69
  5. Step 5: Solve for x
    x = 130,676,280,112.69/417,691.73
  6. Step 6: Final answer
    x = 312,853.40

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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.