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Finding the Fourth Proportional to 516,773.45, 775,110.02 and 156,947.40

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Solution

The fourth proportional to 516,773.45, 775,110.02 and 156,947.40 is: 235,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,773.45 : 775,110.02 = 156,947.40 : x
  2. Step 2: Convert to fraction form
    516,773.45/775,110.02 = 156,947.40/x
  3. Step 3: Cross multiply
    516,773.45x = 775,110.02 × 156,947.40
  4. Step 4: Simplify right side
    516,773.45x = 121,651,502,352.95
  5. Step 5: Solve for x
    x = 121,651,502,352.95/516,773.45
  6. Step 6: Final answer
    x = 235,405.87

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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.