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Finding the Fourth Proportional to 467,600.82, 701,483.85 and 152,002.14

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Solution

The fourth proportional to 467,600.82, 701,483.85 and 152,002.14 is: 228,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,600.82 : 701,483.85 = 152,002.14 : x
  2. Step 2: Convert to fraction form
    467,600.82/701,483.85 = 152,002.14/x
  3. Step 3: Cross multiply
    467,600.82x = 701,483.85 × 152,002.14
  4. Step 4: Simplify right side
    467,600.82x = 106,627,046,375.44
  5. Step 5: Solve for x
    x = 106,627,046,375.44/467,600.82
  6. Step 6: Final answer
    x = 228,030.07

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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.