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Finding the Fourth Proportional to 410,945.91, 616,543.42 and 291,234.32

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Solution

The fourth proportional to 410,945.91, 616,543.42 and 291,234.32 is: 436,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,945.91 : 616,543.42 = 291,234.32 : x
  2. Step 2: Convert to fraction form
    410,945.91/616,543.42 = 291,234.32/x
  3. Step 3: Cross multiply
    410,945.91x = 616,543.42 × 291,234.32
  4. Step 4: Simplify right side
    410,945.91x = 179,558,599,863.37
  5. Step 5: Solve for x
    x = 179,558,599,863.37/410,945.91
  6. Step 6: Final answer
    x = 436,939.74

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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.