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Finding the Fourth Proportional to 500,766.26, 750,624.50 and 185,021.78

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Solution

The fourth proportional to 500,766.26, 750,624.50 and 185,021.78 is: 277,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,766.26 : 750,624.50 = 185,021.78 : x
  2. Step 2: Convert to fraction form
    500,766.26/750,624.50 = 185,021.78/x
  3. Step 3: Cross multiply
    500,766.26x = 750,624.50 × 185,021.78
  4. Step 4: Simplify right side
    500,766.26x = 138,881,877,811.04
  5. Step 5: Solve for x
    x = 138,881,877,811.04/500,766.26
  6. Step 6: Final answer
    x = 277,338.73

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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.