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Finding the Fourth Proportional to 417,713.40, 576,445.11 and 226,726.92

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Solution

The fourth proportional to 417,713.40, 576,445.11 and 226,726.92 is: 312,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,713.40 : 576,445.11 = 226,726.92 : x
  2. Step 2: Convert to fraction form
    417,713.40/576,445.11 = 226,726.92/x
  3. Step 3: Cross multiply
    417,713.40x = 576,445.11 × 226,726.92
  4. Step 4: Simplify right side
    417,713.40x = 130,695,624,339.36
  5. Step 5: Solve for x
    x = 130,695,624,339.36/417,713.40
  6. Step 6: Final answer
    x = 312,883.49

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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.