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Finding the Fourth Proportional to 467,752.96, 701,470.48 and 152,131.52

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Solution

The fourth proportional to 467,752.96, 701,470.48 and 152,131.52 is: 228,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,752.96 : 701,470.48 = 152,131.52 : x
  2. Step 2: Convert to fraction form
    467,752.96/701,470.48 = 152,131.52/x
  3. Step 3: Cross multiply
    467,752.96x = 701,470.48 × 152,131.52
  4. Step 4: Simplify right side
    467,752.96x = 106,715,770,357.53
  5. Step 5: Solve for x
    x = 106,715,770,357.53/467,752.96
  6. Step 6: Final answer
    x = 228,145.58

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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.