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Finding the Fourth Proportional to 295,761.80, 443,642.70 and 177,663.80

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Solution

The fourth proportional to 295,761.80, 443,642.70 and 177,663.80 is: 266,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,761.80 : 443,642.70 = 177,663.80 : x
  2. Step 2: Convert to fraction form
    295,761.80/443,642.70 = 177,663.80/x
  3. Step 3: Cross multiply
    295,761.80x = 443,642.70 × 177,663.80
  4. Step 4: Simplify right side
    295,761.80x = 78,819,247,924.26
  5. Step 5: Solve for x
    x = 78,819,247,924.26/295,761.80
  6. Step 6: Final answer
    x = 266,495.70

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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.