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Finding the Fourth Proportional to 418,365.14, 577,343.96 and 227,378.52

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Solution

The fourth proportional to 418,365.14, 577,343.96 and 227,378.52 is: 313,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,365.14 : 577,343.96 = 227,378.52 : x
  2. Step 2: Convert to fraction form
    418,365.14/577,343.96 = 227,378.52/x
  3. Step 3: Cross multiply
    418,365.14x = 577,343.96 × 227,378.52
  4. Step 4: Simplify right side
    418,365.14x = 131,275,614,018.85
  5. Step 5: Solve for x
    x = 131,275,614,018.85/418,365.14
  6. Step 6: Final answer
    x = 313,782.39

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1.5x scale

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.