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Finding the Fourth Proportional to 417,195.82, 575,724.67 and 226,205.11

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Solution

The fourth proportional to 417,195.82, 575,724.67 and 226,205.11 is: 312,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,195.82 : 575,724.67 = 226,205.11 : x
  2. Step 2: Convert to fraction form
    417,195.82/575,724.67 = 226,205.11/x
  3. Step 3: Cross multiply
    417,195.82x = 575,724.67 × 226,205.11
  4. Step 4: Simplify right side
    417,195.82x = 130,231,862,307.06
  5. Step 5: Solve for x
    x = 130,231,862,307.06/417,195.82
  6. Step 6: Final answer
    x = 312,160.04

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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.