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Finding the Fourth Proportional to 292,841.76, 439,265.52 and 82,483.68

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Solution

The fourth proportional to 292,841.76, 439,265.52 and 82,483.68 is: 123,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,841.76 : 439,265.52 = 82,483.68 : x
  2. Step 2: Convert to fraction form
    292,841.76/439,265.52 = 82,483.68/x
  3. Step 3: Cross multiply
    292,841.76x = 439,265.52 × 82,483.68
  4. Step 4: Simplify right side
    292,841.76x = 36,232,236,586.71
  5. Step 5: Solve for x
    x = 36,232,236,586.71/292,841.76
  6. Step 6: Final answer
    x = 123,726.33

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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.