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Finding the Fourth Proportional to 600,856.22, 829,272.66 and 342,731.90

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Solution

The fourth proportional to 600,856.22, 829,272.66 and 342,731.90 is: 473,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,856.22 : 829,272.66 = 342,731.90 : x
  2. Step 2: Convert to fraction form
    600,856.22/829,272.66 = 342,731.90/x
  3. Step 3: Cross multiply
    600,856.22x = 829,272.66 × 342,731.90
  4. Step 4: Simplify right side
    600,856.22x = 284,218,194,379.85
  5. Step 5: Solve for x
    x = 284,218,194,379.85/600,856.22
  6. Step 6: Final answer
    x = 473,021.97

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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.