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Finding the Fourth Proportional to 342,444.38, 472,763.28 and 206,512.76

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Solution

The fourth proportional to 342,444.38, 472,763.28 and 206,512.76 is: 285,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,444.38 : 472,763.28 = 206,512.76 : x
  2. Step 2: Convert to fraction form
    342,444.38/472,763.28 = 206,512.76/x
  3. Step 3: Cross multiply
    342,444.38x = 472,763.28 × 206,512.76
  4. Step 4: Simplify right side
    342,444.38x = 97,631,649,779.45
  5. Step 5: Solve for x
    x = 97,631,649,779.45/342,444.38
  6. Step 6: Final answer
    x = 285,102.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.