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Finding the Fourth Proportional to 301,302.79, 415,823.68 and 165,363.02

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Solution

The fourth proportional to 301,302.79, 415,823.68 and 165,363.02 is: 228,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,302.79 : 415,823.68 = 165,363.02 : x
  2. Step 2: Convert to fraction form
    301,302.79/415,823.68 = 165,363.02/x
  3. Step 3: Cross multiply
    301,302.79x = 415,823.68 × 165,363.02
  4. Step 4: Simplify right side
    301,302.79x = 68,761,856,709.73
  5. Step 5: Solve for x
    x = 68,761,856,709.73/301,302.79
  6. Step 6: Final answer
    x = 228,215.13

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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.