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Finding the Fourth Proportional to 297,940.38, 446,924.16 and 98,278.16

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Solution

The fourth proportional to 297,940.38, 446,924.16 and 98,278.16 is: 147,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,940.38 : 446,924.16 = 98,278.16 : x
  2. Step 2: Convert to fraction form
    297,940.38/446,924.16 = 98,278.16/x
  3. Step 3: Cross multiply
    297,940.38x = 446,924.16 × 98,278.16
  4. Step 4: Simplify right side
    297,940.38x = 43,922,884,104.35
  5. Step 5: Solve for x
    x = 43,922,884,104.35/297,940.38
  6. Step 6: Final answer
    x = 147,421.72

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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.