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Finding the Fourth Proportional to 291,701.70, 437,552.55 and 197,223.30

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Solution

The fourth proportional to 291,701.70, 437,552.55 and 197,223.30 is: 295,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,701.70 : 437,552.55 = 197,223.30 : x
  2. Step 2: Convert to fraction form
    291,701.70/437,552.55 = 197,223.30/x
  3. Step 3: Cross multiply
    291,701.70x = 437,552.55 × 197,223.30
  4. Step 4: Simplify right side
    291,701.70x = 86,295,557,834.42
  5. Step 5: Solve for x
    x = 86,295,557,834.42/291,701.70
  6. Step 6: Final answer
    x = 295,834.95

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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.