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Finding the Fourth Proportional to 408,045.54, 563,117.02 and 226,765.11

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Solution

The fourth proportional to 408,045.54, 563,117.02 and 226,765.11 is: 312,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.54 : 563,117.02 = 226,765.11 : x
  2. Step 2: Convert to fraction form
    408,045.54/563,117.02 = 226,765.11/x
  3. Step 3: Cross multiply
    408,045.54x = 563,117.02 × 226,765.11
  4. Step 4: Simplify right side
    408,045.54x = 127,695,292,416.26
  5. Step 5: Solve for x
    x = 127,695,292,416.26/408,045.54
  6. Step 6: Final answer
    x = 312,943.73

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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.