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Finding the Fourth Proportional to 402,680.79, 604,024.82 and 122,198.04

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Solution

The fourth proportional to 402,680.79, 604,024.82 and 122,198.04 is: 183,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,680.79 : 604,024.82 = 122,198.04 : x
  2. Step 2: Convert to fraction form
    402,680.79/604,024.82 = 122,198.04/x
  3. Step 3: Cross multiply
    402,680.79x = 604,024.82 × 122,198.04
  4. Step 4: Simplify right side
    402,680.79x = 73,810,649,115.35
  5. Step 5: Solve for x
    x = 73,810,649,115.35/402,680.79
  6. Step 6: Final answer
    x = 183,298.16

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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.