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Finding the Fourth Proportional to 462,170.77, 693,270.28 and 158,560.67

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Solution

The fourth proportional to 462,170.77, 693,270.28 and 158,560.67 is: 237,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,170.77 : 693,270.28 = 158,560.67 : x
  2. Step 2: Convert to fraction form
    462,170.77/693,270.28 = 158,560.67/x
  3. Step 3: Cross multiply
    462,170.77x = 693,270.28 × 158,560.67
  4. Step 4: Simplify right side
    462,170.77x = 109,925,396,621.54
  5. Step 5: Solve for x
    x = 109,925,396,621.54/462,170.77
  6. Step 6: Final answer
    x = 237,845.84

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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.