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Finding the Fourth Proportional to 458,186.26, 687,114.69 and 158,585.62

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Solution

The fourth proportional to 458,186.26, 687,114.69 and 158,585.62 is: 237,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,186.26 : 687,114.69 = 158,585.62 : x
  2. Step 2: Convert to fraction form
    458,186.26/687,114.69 = 158,585.62/x
  3. Step 3: Cross multiply
    458,186.26x = 687,114.69 × 158,585.62
  4. Step 4: Simplify right side
    458,186.26x = 108,966,509,124.76
  5. Step 5: Solve for x
    x = 108,966,509,124.76/458,186.26
  6. Step 6: Final answer
    x = 237,821.42

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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.