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Finding the Fourth Proportional to 342,823.26, 514,378.43 and 150,598.55

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Solution

The fourth proportional to 342,823.26, 514,378.43 and 150,598.55 is: 225,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,823.26 : 514,378.43 = 150,598.55 : x
  2. Step 2: Convert to fraction form
    342,823.26/514,378.43 = 150,598.55/x
  3. Step 3: Cross multiply
    342,823.26x = 514,378.43 × 150,598.55
  4. Step 4: Simplify right side
    342,823.26x = 77,464,645,709.28
  5. Step 5: Solve for x
    x = 77,464,645,709.28/342,823.26
  6. Step 6: Final answer
    x = 225,960.88

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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.