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Finding the Fourth Proportional to 417,713.40, 576,429.02 and 226,722.70

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Solution

The fourth proportional to 417,713.40, 576,429.02 and 226,722.70 is: 312,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,713.40 : 576,429.02 = 226,722.70 : x
  2. Step 2: Convert to fraction form
    417,713.40/576,429.02 = 226,722.70/x
  3. Step 3: Cross multiply
    417,713.40x = 576,429.02 × 226,722.70
  4. Step 4: Simplify right side
    417,713.40x = 130,689,543,772.75
  5. Step 5: Solve for x
    x = 130,689,543,772.75/417,713.40
  6. Step 6: Final answer
    x = 312,868.93

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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.