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Finding the Fourth Proportional to 276,306.38, 414,459.57 and 98,802.62

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Solution

The fourth proportional to 276,306.38, 414,459.57 and 98,802.62 is: 148,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,306.38 : 414,459.57 = 98,802.62 : x
  2. Step 2: Convert to fraction form
    276,306.38/414,459.57 = 98,802.62/x
  3. Step 3: Cross multiply
    276,306.38x = 414,459.57 × 98,802.62
  4. Step 4: Simplify right side
    276,306.38x = 40,949,691,400.07
  5. Step 5: Solve for x
    x = 40,949,691,400.07/276,306.38
  6. Step 6: Final answer
    x = 148,203.93

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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.