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Finding the Fourth Proportional to 516,499.92, 774,728.76 and 142,513.36

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Solution

The fourth proportional to 516,499.92, 774,728.76 and 142,513.36 is: 213,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,499.92 : 774,728.76 = 142,513.36 : x
  2. Step 2: Convert to fraction form
    516,499.92/774,728.76 = 142,513.36/x
  3. Step 3: Cross multiply
    516,499.92x = 774,728.76 × 142,513.36
  4. Step 4: Simplify right side
    516,499.92x = 110,409,198,676.23
  5. Step 5: Solve for x
    x = 110,409,198,676.23/516,499.92
  6. Step 6: Final answer
    x = 213,764.21

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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.