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Finding the Fourth Proportional to 342,722.28, 514,415.52 and 165,354.03

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Solution

The fourth proportional to 342,722.28, 514,415.52 and 165,354.03 is: 248,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,722.28 : 514,415.52 = 165,354.03 : x
  2. Step 2: Convert to fraction form
    342,722.28/514,415.52 = 165,354.03/x
  3. Step 3: Cross multiply
    342,722.28x = 514,415.52 × 165,354.03
  4. Step 4: Simplify right side
    342,722.28x = 85,060,679,326.55
  5. Step 5: Solve for x
    x = 85,060,679,326.55/342,722.28
  6. Step 6: Final answer
    x = 248,191.27

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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.