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Finding the Fourth Proportional to 417,753.81, 576,510.71 and 226,767.20

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Solution

The fourth proportional to 417,753.81, 576,510.71 and 226,767.20 is: 312,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,753.81 : 576,510.71 = 226,767.20 : x
  2. Step 2: Convert to fraction form
    417,753.81/576,510.71 = 226,767.20/x
  3. Step 3: Cross multiply
    417,753.81x = 576,510.71 × 226,767.20
  4. Step 4: Simplify right side
    417,753.81x = 130,733,715,460.32
  5. Step 5: Solve for x
    x = 130,733,715,460.32/417,753.81
  6. Step 6: Final answer
    x = 312,944.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.