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Finding the Fourth Proportional to 342,797.90, 514,311.42 and 165,283.94

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Solution

The fourth proportional to 342,797.90, 514,311.42 and 165,283.94 is: 247,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,797.90 : 514,311.42 = 165,283.94 : x
  2. Step 2: Convert to fraction form
    342,797.90/514,311.42 = 165,283.94/x
  3. Step 3: Cross multiply
    342,797.90x = 514,311.42 × 165,283.94
  4. Step 4: Simplify right side
    342,797.90x = 85,007,417,884.59
  5. Step 5: Solve for x
    x = 85,007,417,884.59/342,797.90
  6. Step 6: Final answer
    x = 247,981.15

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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.