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Finding the Fourth Proportional to 275,219.60, 412,732.20 and 97,732.40

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Solution

The fourth proportional to 275,219.60, 412,732.20 and 97,732.40 is: 146,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,219.60 : 412,732.20 = 97,732.40 : x
  2. Step 2: Convert to fraction form
    275,219.60/412,732.20 = 97,732.40/x
  3. Step 3: Cross multiply
    275,219.60x = 412,732.20 × 97,732.40
  4. Step 4: Simplify right side
    275,219.60x = 40,337,308,463.28
  5. Step 5: Solve for x
    x = 40,337,308,463.28/275,219.60
  6. Step 6: Final answer
    x = 146,564.08

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1.5x scale

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.