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Finding the Fourth Proportional to 486,116.40, 729,077.40 and 233,396.40

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Solution

The fourth proportional to 486,116.40, 729,077.40 and 233,396.40 is: 350,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,116.40 : 729,077.40 = 233,396.40 : x
  2. Step 2: Convert to fraction form
    486,116.40/729,077.40 = 233,396.40/x
  3. Step 3: Cross multiply
    486,116.40x = 729,077.40 × 233,396.40
  4. Step 4: Simplify right side
    486,116.40x = 170,164,040,481.36
  5. Step 5: Solve for x
    x = 170,164,040,481.36/486,116.40
  6. Step 6: Final answer
    x = 350,047.93

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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.