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Finding the Fourth Proportional to 416,804.52, 575,190.81 and 225,817.91

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Solution

The fourth proportional to 416,804.52, 575,190.81 and 225,817.91 is: 311,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,804.52 : 575,190.81 = 225,817.91 : x
  2. Step 2: Convert to fraction form
    416,804.52/575,190.81 = 225,817.91/x
  3. Step 3: Cross multiply
    416,804.52x = 575,190.81 × 225,817.91
  4. Step 4: Simplify right side
    416,804.52x = 129,888,386,565.41
  5. Step 5: Solve for x
    x = 129,888,386,565.41/416,804.52
  6. Step 6: Final answer
    x = 311,629.03

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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.