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Finding the Fourth Proportional to 342,808.38, 514,407 and 185,033.34

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Solution

The fourth proportional to 342,808.38, 514,407 and 185,033.34 is: 277,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,808.38 : 514,407 = 185,033.34 : x
  2. Step 2: Convert to fraction form
    342,808.38/514,407 = 185,033.34/x
  3. Step 3: Cross multiply
    342,808.38x = 514,407 × 185,033.34
  4. Step 4: Simplify right side
    342,808.38x = 95,182,445,329.38
  5. Step 5: Solve for x
    x = 95,182,445,329.38/342,808.38
  6. Step 6: Final answer
    x = 277,654.96

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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.