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Finding the Fourth Proportional to 312,011.85, 467,641.80 and 143,299.38

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Solution

The fourth proportional to 312,011.85, 467,641.80 and 143,299.38 is: 214,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,011.85 : 467,641.80 = 143,299.38 : x
  2. Step 2: Convert to fraction form
    312,011.85/467,641.80 = 143,299.38/x
  3. Step 3: Cross multiply
    312,011.85x = 467,641.80 × 143,299.38
  4. Step 4: Simplify right side
    312,011.85x = 67,012,780,002.08
  5. Step 5: Solve for x
    x = 67,012,780,002.08/312,011.85
  6. Step 6: Final answer
    x = 214,776.39

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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.