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Finding the Fourth Proportional to 297,988.30, 446,593.65 and 138,045.70

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Solution

The fourth proportional to 297,988.30, 446,593.65 and 138,045.70 is: 206,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,988.30 : 446,593.65 = 138,045.70 : x
  2. Step 2: Convert to fraction form
    297,988.30/446,593.65 = 138,045.70/x
  3. Step 3: Cross multiply
    297,988.30x = 446,593.65 × 138,045.70
  4. Step 4: Simplify right side
    297,988.30x = 61,650,333,029.81
  5. Step 5: Solve for x
    x = 61,650,333,029.81/297,988.30
  6. Step 6: Final answer
    x = 206,888.43

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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.