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Finding the Fourth Proportional to 342,864.70, 514,642.65 and 165,514.30

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Solution

The fourth proportional to 342,864.70, 514,642.65 and 165,514.30 is: 248,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864.70 : 514,642.65 = 165,514.30 : x
  2. Step 2: Convert to fraction form
    342,864.70/514,642.65 = 165,514.30/x
  3. Step 3: Cross multiply
    342,864.70x = 514,642.65 × 165,514.30
  4. Step 4: Simplify right side
    342,864.70x = 85,180,717,964.90
  5. Step 5: Solve for x
    x = 85,180,717,964.90/342,864.70
  6. Step 6: Final answer
    x = 248,438.28

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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.