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Finding the Fourth Proportional to 363,002.92, 544,841.34 and 185,636.68

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Solution

The fourth proportional to 363,002.92, 544,841.34 and 185,636.68 is: 278,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,002.92 : 544,841.34 = 185,636.68 : x
  2. Step 2: Convert to fraction form
    363,002.92/544,841.34 = 185,636.68/x
  3. Step 3: Cross multiply
    363,002.92x = 544,841.34 × 185,636.68
  4. Step 4: Simplify right side
    363,002.92x = 101,142,537,484.35
  5. Step 5: Solve for x
    x = 101,142,537,484.35/363,002.92
  6. Step 6: Final answer
    x = 278,627.34

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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.