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Finding the Fourth Proportional to 298,073.64, 447,015.62 and 98,356.80

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Solution

The fourth proportional to 298,073.64, 447,015.62 and 98,356.80 is: 147,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,073.64 : 447,015.62 = 98,356.80 : x
  2. Step 2: Convert to fraction form
    298,073.64/447,015.62 = 98,356.80/x
  3. Step 3: Cross multiply
    298,073.64x = 447,015.62 × 98,356.80
  4. Step 4: Simplify right side
    298,073.64x = 43,967,025,933.22
  5. Step 5: Solve for x
    x = 43,967,025,933.22/298,073.64
  6. Step 6: Final answer
    x = 147,503.91

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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.