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Finding the Fourth Proportional to 417,712.92, 576,428.32 and 226,722.20

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Solution

The fourth proportional to 417,712.92, 576,428.32 and 226,722.20 is: 312,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.92 : 576,428.32 = 226,722.20 : x
  2. Step 2: Convert to fraction form
    417,712.92/576,428.32 = 226,722.20/x
  3. Step 3: Cross multiply
    417,712.92x = 576,428.32 × 226,722.20
  4. Step 4: Simplify right side
    417,712.92x = 130,689,096,852.70
  5. Step 5: Solve for x
    x = 130,689,096,852.70/417,712.92
  6. Step 6: Final answer
    x = 312,868.22

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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.