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Finding the Fourth Proportional to 298,814.82, 448,310.01 and 88,458.22

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Solution

The fourth proportional to 298,814.82, 448,310.01 and 88,458.22 is: 132,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.82 : 448,310.01 = 88,458.22 : x
  2. Step 2: Convert to fraction form
    298,814.82/448,310.01 = 88,458.22/x
  3. Step 3: Cross multiply
    298,814.82x = 448,310.01 × 88,458.22
  4. Step 4: Simplify right side
    298,814.82x = 39,656,705,050.49
  5. Step 5: Solve for x
    x = 39,656,705,050.49/298,814.82
  6. Step 6: Final answer
    x = 132,713.32

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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.