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Finding the Fourth Proportional to 418,053.12, 576,916.32 and 227,066.52

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Solution

The fourth proportional to 418,053.12, 576,916.32 and 227,066.52 is: 313,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,053.12 : 576,916.32 = 227,066.52 : x
  2. Step 2: Convert to fraction form
    418,053.12/576,916.32 = 227,066.52/x
  3. Step 3: Cross multiply
    418,053.12x = 576,916.32 × 227,066.52
  4. Step 4: Simplify right side
    418,053.12x = 130,998,381,113.61
  5. Step 5: Solve for x
    x = 130,998,381,113.61/418,053.12
  6. Step 6: Final answer
    x = 313,353.43

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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.