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Finding the Fourth Proportional to 416,682.52, 575,021.90 and 225,695.97

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Solution

The fourth proportional to 416,682.52, 575,021.90 and 225,695.97 is: 311,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682.52 : 575,021.90 = 225,695.97 : x
  2. Step 2: Convert to fraction form
    416,682.52/575,021.90 = 225,695.97/x
  3. Step 3: Cross multiply
    416,682.52x = 575,021.90 × 225,695.97
  4. Step 4: Simplify right side
    416,682.52x = 129,780,126,055.98
  5. Step 5: Solve for x
    x = 129,780,126,055.98/416,682.52
  6. Step 6: Final answer
    x = 311,460.45

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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.