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Finding the Fourth Proportional to 280,830.80, 421,246.20 and 162,805.70

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Solution

The fourth proportional to 280,830.80, 421,246.20 and 162,805.70 is: 244,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,830.80 : 421,246.20 = 162,805.70 : x
  2. Step 2: Convert to fraction form
    280,830.80/421,246.20 = 162,805.70/x
  3. Step 3: Cross multiply
    280,830.80x = 421,246.20 × 162,805.70
  4. Step 4: Simplify right side
    280,830.80x = 68,581,282,463.34
  5. Step 5: Solve for x
    x = 68,581,282,463.34/280,830.80
  6. Step 6: Final answer
    x = 244,208.55

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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.