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Finding the Fourth Proportional to 416,412.66, 574,649.67 and 225,426.05

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Solution

The fourth proportional to 416,412.66, 574,649.67 and 225,426.05 is: 311,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,412.66 : 574,649.67 = 225,426.05 : x
  2. Step 2: Convert to fraction form
    416,412.66/574,649.67 = 225,426.05/x
  3. Step 3: Cross multiply
    416,412.66x = 574,649.67 × 225,426.05
  4. Step 4: Simplify right side
    416,412.66x = 129,541,004,275.01
  5. Step 5: Solve for x
    x = 129,541,004,275.01/416,412.66
  6. Step 6: Final answer
    x = 311,088.05

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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.