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Finding the Fourth Proportional to 342,838.53, 514,589.49 and 165,470.40

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Solution

The fourth proportional to 342,838.53, 514,589.49 and 165,470.40 is: 248,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,838.53 : 514,589.49 = 165,470.40 : x
  2. Step 2: Convert to fraction form
    342,838.53/514,589.49 = 165,470.40/x
  3. Step 3: Cross multiply
    342,838.53x = 514,589.49 × 165,470.40
  4. Step 4: Simplify right side
    342,838.53x = 85,149,328,746.10
  5. Step 5: Solve for x
    x = 85,149,328,746.10/342,838.53
  6. Step 6: Final answer
    x = 248,365.69

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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.