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Finding the Fourth Proportional to 412,874.12, 619,281.10 and 185,240.23

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Solution

The fourth proportional to 412,874.12, 619,281.10 and 185,240.23 is: 277,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,874.12 : 619,281.10 = 185,240.23 : x
  2. Step 2: Convert to fraction form
    412,874.12/619,281.10 = 185,240.23/x
  3. Step 3: Cross multiply
    412,874.12x = 619,281.10 × 185,240.23
  4. Step 4: Simplify right side
    412,874.12x = 114,715,773,398.65
  5. Step 5: Solve for x
    x = 114,715,773,398.65/412,874.12
  6. Step 6: Final answer
    x = 277,846.85

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1.5x scale

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.