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Finding the Fourth Proportional to 614,117.88, 847,471.37 and 342,179.91

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Solution

The fourth proportional to 614,117.88, 847,471.37 and 342,179.91 is: 472,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,117.88 : 847,471.37 = 342,179.91 : x
  2. Step 2: Convert to fraction form
    614,117.88/847,471.37 = 342,179.91/x
  3. Step 3: Cross multiply
    614,117.88x = 847,471.37 × 342,179.91
  4. Step 4: Simplify right side
    614,117.88x = 289,987,675,403.28
  5. Step 5: Solve for x
    x = 289,987,675,403.28/614,117.88
  6. Step 6: Final answer
    x = 472,201.97

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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.