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Finding the Fourth Proportional to 417,442.51, 576,071.78 and 226,455.92

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Solution

The fourth proportional to 417,442.51, 576,071.78 and 226,455.92 is: 312,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,442.51 : 576,071.78 = 226,455.92 : x
  2. Step 2: Convert to fraction form
    417,442.51/576,071.78 = 226,455.92/x
  3. Step 3: Cross multiply
    417,442.51x = 576,071.78 × 226,455.92
  4. Step 4: Simplify right side
    417,442.51x = 130,454,863,793.66
  5. Step 5: Solve for x
    x = 130,454,863,793.66/417,442.51
  6. Step 6: Final answer
    x = 312,509.78

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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.