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Finding the Fourth Proportional to 417,411.68, 576,023.40 and 236,120.72

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Solution

The fourth proportional to 417,411.68, 576,023.40 and 236,120.72 is: 325,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,411.68 : 576,023.40 = 236,120.72 : x
  2. Step 2: Convert to fraction form
    417,411.68/576,023.40 = 236,120.72/x
  3. Step 3: Cross multiply
    417,411.68x = 576,023.40 × 236,120.72
  4. Step 4: Simplify right side
    417,411.68x = 136,011,059,944.85
  5. Step 5: Solve for x
    x = 136,011,059,944.85/417,411.68
  6. Step 6: Final answer
    x = 325,843.92

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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.