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Finding the Fourth Proportional to 416,754, 575,120.52 and 225,767.34

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Solution

The fourth proportional to 416,754, 575,120.52 and 225,767.34 is: 311,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,754 : 575,120.52 = 225,767.34 : x
  2. Step 2: Convert to fraction form
    416,754/575,120.52 = 225,767.34/x
  3. Step 3: Cross multiply
    416,754x = 575,120.52 × 225,767.34
  4. Step 4: Simplify right side
    416,754x = 129,843,429,979.82
  5. Step 5: Solve for x
    x = 129,843,429,979.82/416,754
  6. Step 6: Final answer
    x = 311,558.93

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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.