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Finding the Fourth Proportional to 497,770.80, 746,656.20 and 165,346.80

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Solution

The fourth proportional to 497,770.80, 746,656.20 and 165,346.80 is: 248,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,770.80 : 746,656.20 = 165,346.80 : x
  2. Step 2: Convert to fraction form
    497,770.80/746,656.20 = 165,346.80/x
  3. Step 3: Cross multiply
    497,770.80x = 746,656.20 × 165,346.80
  4. Step 4: Simplify right side
    497,770.80x = 123,457,213,370.16
  5. Step 5: Solve for x
    x = 123,457,213,370.16/497,770.80
  6. Step 6: Final answer
    x = 248,020.20

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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.