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Finding the Fourth Proportional to 516,500.96, 774,796.08 and 142,523.96

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Solution

The fourth proportional to 516,500.96, 774,796.08 and 142,523.96 is: 213,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,500.96 : 774,796.08 = 142,523.96 : x
  2. Step 2: Convert to fraction form
    516,500.96/774,796.08 = 142,523.96/x
  3. Step 3: Cross multiply
    516,500.96x = 774,796.08 × 142,523.96
  4. Step 4: Simplify right side
    516,500.96x = 110,427,005,514.08
  5. Step 5: Solve for x
    x = 110,427,005,514.08/516,500.96
  6. Step 6: Final answer
    x = 213,798.26

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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.