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Finding the Fourth Proportional to 275,309.60, 412,964.40 and 97,834.55

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Solution

The fourth proportional to 275,309.60, 412,964.40 and 97,834.55 is: 146,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,309.60 : 412,964.40 = 97,834.55 : x
  2. Step 2: Convert to fraction form
    275,309.60/412,964.40 = 97,834.55/x
  3. Step 3: Cross multiply
    275,309.60x = 412,964.40 × 97,834.55
  4. Step 4: Simplify right side
    275,309.60x = 40,402,186,240.02
  5. Step 5: Solve for x
    x = 40,402,186,240.02/275,309.60
  6. Step 6: Final answer
    x = 146,751.83

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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.