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Finding the Fourth Proportional to 275,816.30, 413,724.45 and 98,329.10

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Solution

The fourth proportional to 275,816.30, 413,724.45 and 98,329.10 is: 147,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,816.30 : 413,724.45 = 98,329.10 : x
  2. Step 2: Convert to fraction form
    275,816.30/413,724.45 = 98,329.10/x
  3. Step 3: Cross multiply
    275,816.30x = 413,724.45 × 98,329.10
  4. Step 4: Simplify right side
    275,816.30x = 40,681,152,816.50
  5. Step 5: Solve for x
    x = 40,681,152,816.50/275,816.30
  6. Step 6: Final answer
    x = 147,493.65

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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.