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Finding the Fourth Proportional to 417,693.24, 576,417.24 and 226,706.66

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Solution

The fourth proportional to 417,693.24, 576,417.24 and 226,706.66 is: 312,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,693.24 : 576,417.24 = 226,706.66 : x
  2. Step 2: Convert to fraction form
    417,693.24/576,417.24 = 226,706.66/x
  3. Step 3: Cross multiply
    417,693.24x = 576,417.24 × 226,706.66
  4. Step 4: Simplify right side
    417,693.24x = 130,677,627,246.82
  5. Step 5: Solve for x
    x = 130,677,627,246.82/417,693.24
  6. Step 6: Final answer
    x = 312,855.50

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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.