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Finding the Fourth Proportional to 297,677.16, 446,049 and 253,120.68

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Solution

The fourth proportional to 297,677.16, 446,049 and 253,120.68 is: 379,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,677.16 : 446,049 = 253,120.68 : x
  2. Step 2: Convert to fraction form
    297,677.16/446,049 = 253,120.68/x
  3. Step 3: Cross multiply
    297,677.16x = 446,049 × 253,120.68
  4. Step 4: Simplify right side
    297,677.16x = 112,904,226,193.32
  5. Step 5: Solve for x
    x = 112,904,226,193.32/297,677.16
  6. Step 6: Final answer
    x = 379,284.14

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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.