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Finding the Fourth Proportional to 296,010.40, 443,756.40 and 177,728.80

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Solution

The fourth proportional to 296,010.40, 443,756.40 and 177,728.80 is: 266,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,010.40 : 443,756.40 = 177,728.80 : x
  2. Step 2: Convert to fraction form
    296,010.40/443,756.40 = 177,728.80/x
  3. Step 3: Cross multiply
    296,010.40x = 443,756.40 × 177,728.80
  4. Step 4: Simplify right side
    296,010.40x = 78,868,292,464.32
  5. Step 5: Solve for x
    x = 78,868,292,464.32/296,010.40
  6. Step 6: Final answer
    x = 266,437.57

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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.