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Finding the Fourth Proportional to 486,175.44, 729,386.33 and 149,233.16

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Solution

The fourth proportional to 486,175.44, 729,386.33 and 149,233.16 is: 223,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,175.44 : 729,386.33 = 149,233.16 : x
  2. Step 2: Convert to fraction form
    486,175.44/729,386.33 = 149,233.16/x
  3. Step 3: Cross multiply
    486,175.44x = 729,386.33 × 149,233.16
  4. Step 4: Simplify right side
    486,175.44x = 108,848,626,886.70
  5. Step 5: Solve for x
    x = 108,848,626,886.70/486,175.44
  6. Step 6: Final answer
    x = 223,887.55

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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.