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Finding the Fourth Proportional to 417,470.76, 576,109.26 and 226,484.91

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Solution

The fourth proportional to 417,470.76, 576,109.26 and 226,484.91 is: 312,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,470.76 : 576,109.26 = 226,484.91 : x
  2. Step 2: Convert to fraction form
    417,470.76/576,109.26 = 226,484.91/x
  3. Step 3: Cross multiply
    417,470.76x = 576,109.26 × 226,484.91
  4. Step 4: Simplify right side
    417,470.76x = 130,480,053,901.27
  5. Step 5: Solve for x
    x = 130,480,053,901.27/417,470.76
  6. Step 6: Final answer
    x = 312,548.96

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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.