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Finding the Fourth Proportional to 342,001.98, 512,977.05 and 120,230.46

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Solution

The fourth proportional to 342,001.98, 512,977.05 and 120,230.46 is: 180,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.98 : 512,977.05 = 120,230.46 : x
  2. Step 2: Convert to fraction form
    342,001.98/512,977.05 = 120,230.46/x
  3. Step 3: Cross multiply
    342,001.98x = 512,977.05 × 120,230.46
  4. Step 4: Simplify right side
    342,001.98x = 61,675,466,690.94
  5. Step 5: Solve for x
    x = 61,675,466,690.94/342,001.98
  6. Step 6: Final answer
    x = 180,336.58

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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.