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Finding the Fourth Proportional to 376,064.80, 564,097.20 and 226,765.60

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Solution

The fourth proportional to 376,064.80, 564,097.20 and 226,765.60 is: 340,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,064.80 : 564,097.20 = 226,765.60 : x
  2. Step 2: Convert to fraction form
    376,064.80/564,097.20 = 226,765.60/x
  3. Step 3: Cross multiply
    376,064.80x = 564,097.20 × 226,765.60
  4. Step 4: Simplify right side
    376,064.80x = 127,917,840,016.32
  5. Step 5: Solve for x
    x = 127,917,840,016.32/376,064.80
  6. Step 6: Final answer
    x = 340,148.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.