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Finding the Fourth Proportional to 488,823.80, 733,891.80 and 312,114.20

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Solution

The fourth proportional to 488,823.80, 733,891.80 and 312,114.20 is: 468,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,823.80 : 733,891.80 = 312,114.20 : x
  2. Step 2: Convert to fraction form
    488,823.80/733,891.80 = 312,114.20/x
  3. Step 3: Cross multiply
    488,823.80x = 733,891.80 × 312,114.20
  4. Step 4: Simplify right side
    488,823.80x = 229,058,052,043.56
  5. Step 5: Solve for x
    x = 229,058,052,043.56/488,823.80
  6. Step 6: Final answer
    x = 468,590.22

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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.