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Finding the Fourth Proportional to 417,712.72, 576,444.14 and 226,726.15

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Solution

The fourth proportional to 417,712.72, 576,444.14 and 226,726.15 is: 312,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.72 : 576,444.14 = 226,726.15 : x
  2. Step 2: Convert to fraction form
    417,712.72/576,444.14 = 226,726.15/x
  3. Step 3: Cross multiply
    417,712.72x = 576,444.14 × 226,726.15
  4. Step 4: Simplify right side
    417,712.72x = 130,694,960,552.26
  5. Step 5: Solve for x
    x = 130,694,960,552.26/417,712.72
  6. Step 6: Final answer
    x = 312,882.41

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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.