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Finding the Fourth Proportional to 312,652.52, 468,929.76 and 99,392.48

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Solution

The fourth proportional to 312,652.52, 468,929.76 and 99,392.48 is: 149,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,652.52 : 468,929.76 = 99,392.48 : x
  2. Step 2: Convert to fraction form
    312,652.52/468,929.76 = 99,392.48/x
  3. Step 3: Cross multiply
    312,652.52x = 468,929.76 × 99,392.48
  4. Step 4: Simplify right side
    312,652.52x = 46,608,089,447.56
  5. Step 5: Solve for x
    x = 46,608,089,447.56/312,652.52
  6. Step 6: Final answer
    x = 149,073.13

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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.