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Finding the Fourth Proportional to 443,405.85, 665,207.06 and 127,838.13

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Solution

The fourth proportional to 443,405.85, 665,207.06 and 127,838.13 is: 191,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,405.85 : 665,207.06 = 127,838.13 : x
  2. Step 2: Convert to fraction form
    443,405.85/665,207.06 = 127,838.13/x
  3. Step 3: Cross multiply
    443,405.85x = 665,207.06 × 127,838.13
  4. Step 4: Simplify right side
    443,405.85x = 85,038,826,613.20
  5. Step 5: Solve for x
    x = 85,038,826,613.20/443,405.85
  6. Step 6: Final answer
    x = 191,785.53

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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.