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Finding the Fourth Proportional to 417,624.25, 576,321.87 and 226,637.68

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Solution

The fourth proportional to 417,624.25, 576,321.87 and 226,637.68 is: 312,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,624.25 : 576,321.87 = 226,637.68 : x
  2. Step 2: Convert to fraction form
    417,624.25/576,321.87 = 226,637.68/x
  3. Step 3: Cross multiply
    417,624.25x = 576,321.87 × 226,637.68
  4. Step 4: Simplify right side
    417,624.25x = 130,616,251,550.06
  5. Step 5: Solve for x
    x = 130,616,251,550.06/417,624.25
  6. Step 6: Final answer
    x = 312,760.22

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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.