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Finding the Fourth Proportional to 418,145.46, 577,041.42 and 227,159.00

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Solution

The fourth proportional to 418,145.46, 577,041.42 and 227,159.00 is: 313,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,145.46 : 577,041.42 = 227,159.00 : x
  2. Step 2: Convert to fraction form
    418,145.46/577,041.42 = 227,159.00/x
  3. Step 3: Cross multiply
    418,145.46x = 577,041.42 × 227,159.00
  4. Step 4: Simplify right side
    418,145.46x = 131,080,150,778.56
  5. Step 5: Solve for x
    x = 131,080,150,778.56/418,145.46
  6. Step 6: Final answer
    x = 313,479.79

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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.