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Finding the Fourth Proportional to 416,313, 574,510.86 and 225,326.34

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Solution

The fourth proportional to 416,313, 574,510.86 and 225,326.34 is: 310,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,313 : 574,510.86 = 225,326.34 : x
  2. Step 2: Convert to fraction form
    416,313/574,510.86 = 225,326.34/x
  3. Step 3: Cross multiply
    416,313x = 574,510.86 × 225,326.34
  4. Step 4: Simplify right side
    416,313x = 129,452,429,374.05
  5. Step 5: Solve for x
    x = 129,452,429,374.05/416,313
  6. Step 6: Final answer
    x = 310,949.76

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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.