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Finding the Fourth Proportional to 342,934.16, 514,318.61 and 102,997.58

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Solution

The fourth proportional to 342,934.16, 514,318.61 and 102,997.58 is: 154,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,934.16 : 514,318.61 = 102,997.58 : x
  2. Step 2: Convert to fraction form
    342,934.16/514,318.61 = 102,997.58/x
  3. Step 3: Cross multiply
    342,934.16x = 514,318.61 × 102,997.58
  4. Step 4: Simplify right side
    342,934.16x = 52,973,569,864.86
  5. Step 5: Solve for x
    x = 52,973,569,864.86/342,934.16
  6. Step 6: Final answer
    x = 154,471.55

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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.