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Finding the Fourth Proportional to 416,254.60, 574,433.18 and 225,268.02

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Solution

The fourth proportional to 416,254.60, 574,433.18 and 225,268.02 is: 310,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,254.60 : 574,433.18 = 225,268.02 : x
  2. Step 2: Convert to fraction form
    416,254.60/574,433.18 = 225,268.02/x
  3. Step 3: Cross multiply
    416,254.60x = 574,433.18 × 225,268.02
  4. Step 4: Simplify right side
    416,254.60x = 129,401,425,080.90
  5. Step 5: Solve for x
    x = 129,401,425,080.90/416,254.60
  6. Step 6: Final answer
    x = 310,870.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.