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Finding the Fourth Proportional to 301,347, 415,877.58 and 199,195.29

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Solution

The fourth proportional to 301,347, 415,877.58 and 199,195.29 is: 274,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,347 : 415,877.58 = 199,195.29 : x
  2. Step 2: Convert to fraction form
    301,347/415,877.58 = 199,195.29/x
  3. Step 3: Cross multiply
    301,347x = 415,877.58 × 199,195.29
  4. Step 4: Simplify right side
    301,347x = 82,840,855,152.60
  5. Step 5: Solve for x
    x = 82,840,855,152.60/301,347
  6. Step 6: Final answer
    x = 274,901.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.