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Finding the Fourth Proportional to 275,269.60, 412,807.20 and 97,782.40

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Solution

The fourth proportional to 275,269.60, 412,807.20 and 97,782.40 is: 146,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,269.60 : 412,807.20 = 97,782.40 : x
  2. Step 2: Convert to fraction form
    275,269.60/412,807.20 = 97,782.40/x
  3. Step 3: Cross multiply
    275,269.60x = 412,807.20 × 97,782.40
  4. Step 4: Simplify right side
    275,269.60x = 40,365,278,753.28
  5. Step 5: Solve for x
    x = 40,365,278,753.28/275,269.60
  6. Step 6: Final answer
    x = 146,639.07

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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.