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Finding the Fourth Proportional to 296,447.80, 443,560.36 and 176,064

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Solution

The fourth proportional to 296,447.80, 443,560.36 and 176,064 is: 263,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,447.80 : 443,560.36 = 176,064 : x
  2. Step 2: Convert to fraction form
    296,447.80/443,560.36 = 176,064/x
  3. Step 3: Cross multiply
    296,447.80x = 443,560.36 × 176,064
  4. Step 4: Simplify right side
    296,447.80x = 78,095,011,223.04
  5. Step 5: Solve for x
    x = 78,095,011,223.04/296,447.80
  6. Step 6: Final answer
    x = 263,435.96

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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.