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Finding the Fourth Proportional to 418,393.67, 577,380.38 and 227,407.05

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Solution

The fourth proportional to 418,393.67, 577,380.38 and 227,407.05 is: 313,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,393.67 : 577,380.38 = 227,407.05 : x
  2. Step 2: Convert to fraction form
    418,393.67/577,380.38 = 227,407.05/x
  3. Step 3: Cross multiply
    418,393.67x = 577,380.38 × 227,407.05
  4. Step 4: Simplify right side
    418,393.67x = 131,300,367,806.64
  5. Step 5: Solve for x
    x = 131,300,367,806.64/418,393.67
  6. Step 6: Final answer
    x = 313,820.16

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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.