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Finding the Fourth Proportional to 416,406.87, 574,641.36 and 225,420.12

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Solution

The fourth proportional to 416,406.87, 574,641.36 and 225,420.12 is: 311,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,406.87 : 574,641.36 = 225,420.12 : x
  2. Step 2: Convert to fraction form
    416,406.87/574,641.36 = 225,420.12/x
  3. Step 3: Cross multiply
    416,406.87x = 574,641.36 × 225,420.12
  4. Step 4: Simplify right side
    416,406.87x = 129,535,724,328.16
  5. Step 5: Solve for x
    x = 129,535,724,328.16/416,406.87
  6. Step 6: Final answer
    x = 311,079.70

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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.