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Finding the Fourth Proportional to 416,208.48, 574,369.22 and 225,221.87

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Solution

The fourth proportional to 416,208.48, 574,369.22 and 225,221.87 is: 310,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,208.48 : 574,369.22 = 225,221.87 : x
  2. Step 2: Convert to fraction form
    416,208.48/574,369.22 = 225,221.87/x
  3. Step 3: Cross multiply
    416,208.48x = 574,369.22 × 225,221.87
  4. Step 4: Simplify right side
    416,208.48x = 129,360,510,671.71
  5. Step 5: Solve for x
    x = 129,360,510,671.71/416,208.48
  6. Step 6: Final answer
    x = 310,807.00

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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.