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Finding the Fourth Proportional to 457,074.54, 685,626.39 and 141,534.18

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Solution

The fourth proportional to 457,074.54, 685,626.39 and 141,534.18 is: 212,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,074.54 : 685,626.39 = 141,534.18 : x
  2. Step 2: Convert to fraction form
    457,074.54/685,626.39 = 141,534.18/x
  3. Step 3: Cross multiply
    457,074.54x = 685,626.39 × 141,534.18
  4. Step 4: Simplify right side
    457,074.54x = 97,039,568,895.01
  5. Step 5: Solve for x
    x = 97,039,568,895.01/457,074.54
  6. Step 6: Final answer
    x = 212,305.78

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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.