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Finding the Fourth Proportional to 467,280.40, 701,093.40 and 151,747.60

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Solution

The fourth proportional to 467,280.40, 701,093.40 and 151,747.60 is: 227,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,280.40 : 701,093.40 = 151,747.60 : x
  2. Step 2: Convert to fraction form
    467,280.40/701,093.40 = 151,747.60/x
  3. Step 3: Cross multiply
    467,280.40x = 701,093.40 × 151,747.60
  4. Step 4: Simplify right side
    467,280.40x = 106,389,240,825.84
  5. Step 5: Solve for x
    x = 106,389,240,825.84/467,280.40
  6. Step 6: Final answer
    x = 227,677.52

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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.