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Finding the Fourth Proportional to 275,476.60, 413,117.70 and 97,989.40

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Solution

The fourth proportional to 275,476.60, 413,117.70 and 97,989.40 is: 146,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,476.60 : 413,117.70 = 97,989.40 : x
  2. Step 2: Convert to fraction form
    275,476.60/413,117.70 = 97,989.40/x
  3. Step 3: Cross multiply
    275,476.60x = 413,117.70 × 97,989.40
  4. Step 4: Simplify right side
    275,476.60x = 40,481,155,552.38
  5. Step 5: Solve for x
    x = 40,481,155,552.38/275,476.60
  6. Step 6: Final answer
    x = 146,949.53

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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.