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Finding the Fourth Proportional to 417,193.12, 575,724 and 226,205.92

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Solution

The fourth proportional to 417,193.12, 575,724 and 226,205.92 is: 312,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,193.12 : 575,724 = 226,205.92 : x
  2. Step 2: Convert to fraction form
    417,193.12/575,724 = 226,205.92/x
  3. Step 3: Cross multiply
    417,193.12x = 575,724 × 226,205.92
  4. Step 4: Simplify right side
    417,193.12x = 130,232,177,086.08
  5. Step 5: Solve for x
    x = 130,232,177,086.08/417,193.12
  6. Step 6: Final answer
    x = 312,162.81

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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.