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Finding the Fourth Proportional to 516,458.55, 774,732.45 and 142,481.55

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Solution

The fourth proportional to 516,458.55, 774,732.45 and 142,481.55 is: 213,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,458.55 : 774,732.45 = 142,481.55 : x
  2. Step 2: Convert to fraction form
    516,458.55/774,732.45 = 142,481.55/x
  3. Step 3: Cross multiply
    516,458.55x = 774,732.45 × 142,481.55
  4. Step 4: Simplify right side
    516,458.55x = 110,385,080,311.30
  5. Step 5: Solve for x
    x = 110,385,080,311.30/516,458.55
  6. Step 6: Final answer
    x = 213,734.64

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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.