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Finding the Fourth Proportional to 417,728.80, 576,463.80 and 226,740.52

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Solution

The fourth proportional to 417,728.80, 576,463.80 and 226,740.52 is: 312,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,728.80 : 576,463.80 = 226,740.52 : x
  2. Step 2: Convert to fraction form
    417,728.80/576,463.80 = 226,740.52/x
  3. Step 3: Cross multiply
    417,728.80x = 576,463.80 × 226,740.52
  4. Step 4: Simplify right side
    417,728.80x = 130,707,701,773.18
  5. Step 5: Solve for x
    x = 130,707,701,773.18/417,728.80
  6. Step 6: Final answer
    x = 312,900.86

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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.