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Finding the Fourth Proportional to 416,147.81, 574,285.95 and 234,867.38

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Solution

The fourth proportional to 416,147.81, 574,285.95 and 234,867.38 is: 324,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,147.81 : 574,285.95 = 234,867.38 : x
  2. Step 2: Convert to fraction form
    416,147.81/574,285.95 = 234,867.38/x
  3. Step 3: Cross multiply
    416,147.81x = 574,285.95 × 234,867.38
  4. Step 4: Simplify right side
    416,147.81x = 134,881,033,575.88
  5. Step 5: Solve for x
    x = 134,881,033,575.88/416,147.81
  6. Step 6: Final answer
    x = 324,118.09

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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.