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Finding the Fourth Proportional to 295,756.80, 443,635.20 and 260,764.80

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Solution

The fourth proportional to 295,756.80, 443,635.20 and 260,764.80 is: 391,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,756.80 : 443,635.20 = 260,764.80 : x
  2. Step 2: Convert to fraction form
    295,756.80/443,635.20 = 260,764.80/x
  3. Step 3: Cross multiply
    295,756.80x = 443,635.20 × 260,764.80
  4. Step 4: Simplify right side
    295,756.80x = 115,684,444,200.96
  5. Step 5: Solve for x
    x = 115,684,444,200.96/295,756.80
  6. Step 6: Final answer
    x = 391,147.20

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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.