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Finding the Fourth Proportional to 416,146.98, 574,278.75 and 225,156.18

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Solution

The fourth proportional to 416,146.98, 574,278.75 and 225,156.18 is: 310,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,146.98 : 574,278.75 = 225,156.18 : x
  2. Step 2: Convert to fraction form
    416,146.98/574,278.75 = 225,156.18/x
  3. Step 3: Cross multiply
    416,146.98x = 574,278.75 × 225,156.18
  4. Step 4: Simplify right side
    416,146.98x = 129,302,409,605.18
  5. Step 5: Solve for x
    x = 129,302,409,605.18/416,146.98
  6. Step 6: Final answer
    x = 310,713.32

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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.