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Finding the Fourth Proportional to 361,895.64, 499,207.02 and 225,693.18

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Solution

The fourth proportional to 361,895.64, 499,207.02 and 225,693.18 is: 311,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,895.64 : 499,207.02 = 225,693.18 : x
  2. Step 2: Convert to fraction form
    361,895.64/499,207.02 = 225,693.18/x
  3. Step 3: Cross multiply
    361,895.64x = 499,207.02 × 225,693.18
  4. Step 4: Simplify right side
    361,895.64x = 112,667,619,822.12
  5. Step 5: Solve for x
    x = 112,667,619,822.12/361,895.64
  6. Step 6: Final answer
    x = 311,326.27

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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.