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Finding the Fourth Proportional to 417,913.76, 576,706.08 and 226,923.20

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Solution

The fourth proportional to 417,913.76, 576,706.08 and 226,923.20 is: 313,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,913.76 : 576,706.08 = 226,923.20 : x
  2. Step 2: Convert to fraction form
    417,913.76/576,706.08 = 226,923.20/x
  3. Step 3: Cross multiply
    417,913.76x = 576,706.08 × 226,923.20
  4. Step 4: Simplify right side
    417,913.76x = 130,867,989,133.06
  5. Step 5: Solve for x
    x = 130,867,989,133.06/417,913.76
  6. Step 6: Final answer
    x = 313,145.92

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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.