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Finding the Fourth Proportional to 467,564.40, 700,902.72 and 151,800.48

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Solution

The fourth proportional to 467,564.40, 700,902.72 and 151,800.48 is: 227,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,564.40 : 700,902.72 = 151,800.48 : x
  2. Step 2: Convert to fraction form
    467,564.40/700,902.72 = 151,800.48/x
  3. Step 3: Cross multiply
    467,564.40x = 700,902.72 × 151,800.48
  4. Step 4: Simplify right side
    467,564.40x = 106,397,369,329.31
  5. Step 5: Solve for x
    x = 106,397,369,329.31/467,564.40
  6. Step 6: Final answer
    x = 227,556.61

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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.