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Finding the Fourth Proportional to 418,659.69, 577,744.95 and 227,668.98

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Solution

The fourth proportional to 418,659.69, 577,744.95 and 227,668.98 is: 314,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,659.69 : 577,744.95 = 227,668.98 : x
  2. Step 2: Convert to fraction form
    418,659.69/577,744.95 = 227,668.98/x
  3. Step 3: Cross multiply
    418,659.69x = 577,744.95 × 227,668.98
  4. Step 4: Simplify right side
    418,659.69x = 131,534,600,446.35
  5. Step 5: Solve for x
    x = 131,534,600,446.35/418,659.69
  6. Step 6: Final answer
    x = 314,180.24

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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.