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Finding the Fourth Proportional to 418,479.30, 577,494.63 and 227,497.50

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Solution

The fourth proportional to 418,479.30, 577,494.63 and 227,497.50 is: 313,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,479.30 : 577,494.63 = 227,497.50 : x
  2. Step 2: Convert to fraction form
    418,479.30/577,494.63 = 227,497.50/x
  3. Step 3: Cross multiply
    418,479.30x = 577,494.63 × 227,497.50
  4. Step 4: Simplify right side
    418,479.30x = 131,378,584,588.43
  5. Step 5: Solve for x
    x = 131,378,584,588.43/418,479.30
  6. Step 6: Final answer
    x = 313,942.85

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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.