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Finding the Fourth Proportional to 418,718.86, 577,834.76 and 227,733.64

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Solution

The fourth proportional to 418,718.86, 577,834.76 and 227,733.64 is: 314,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,718.86 : 577,834.76 = 227,733.64 : x
  2. Step 2: Convert to fraction form
    418,718.86/577,834.76 = 227,733.64/x
  3. Step 3: Cross multiply
    418,718.86x = 577,834.76 × 227,733.64
  4. Step 4: Simplify right side
    418,718.86x = 131,592,413,213.33
  5. Step 5: Solve for x
    x = 131,592,413,213.33/418,718.86
  6. Step 6: Final answer
    x = 314,273.91

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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.