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Finding the Fourth Proportional to 311,258.43, 467,033.46 and 153,400.77

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Solution

The fourth proportional to 311,258.43, 467,033.46 and 153,400.77 is: 230,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,258.43 : 467,033.46 = 153,400.77 : x
  2. Step 2: Convert to fraction form
    311,258.43/467,033.46 = 153,400.77/x
  3. Step 3: Cross multiply
    311,258.43x = 467,033.46 × 153,400.77
  4. Step 4: Simplify right side
    311,258.43x = 71,643,292,379.76
  5. Step 5: Solve for x
    x = 71,643,292,379.76/311,258.43
  6. Step 6: Final answer
    x = 230,173.02

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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.