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Finding the Fourth Proportional to 415,062.12, 622,680.66 and 134,557.50

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Solution

The fourth proportional to 415,062.12, 622,680.66 and 134,557.50 is: 201,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,062.12 : 622,680.66 = 134,557.50 : x
  2. Step 2: Convert to fraction form
    415,062.12/622,680.66 = 134,557.50/x
  3. Step 3: Cross multiply
    415,062.12x = 622,680.66 × 134,557.50
  4. Step 4: Simplify right side
    415,062.12x = 83,786,352,907.95
  5. Step 5: Solve for x
    x = 83,786,352,907.95/415,062.12
  6. Step 6: Final answer
    x = 201,864.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.