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Finding the Fourth Proportional to 292,832.76, 439,256.34 and 82,469.28

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Solution

The fourth proportional to 292,832.76, 439,256.34 and 82,469.28 is: 123,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,832.76 : 439,256.34 = 82,469.28 : x
  2. Step 2: Convert to fraction form
    292,832.76/439,256.34 = 82,469.28/x
  3. Step 3: Cross multiply
    292,832.76x = 439,256.34 × 82,469.28
  4. Step 4: Simplify right side
    292,832.76x = 36,225,154,095.24
  5. Step 5: Solve for x
    x = 36,225,154,095.24/292,832.76
  6. Step 6: Final answer
    x = 123,705.95

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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.