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Finding the Fourth Proportional to 632,873.22, 948,648.86 and 380,153.22

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Solution

The fourth proportional to 632,873.22, 948,648.86 and 380,153.22 is: 569,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,873.22 : 948,648.86 = 380,153.22 : x
  2. Step 2: Convert to fraction form
    632,873.22/948,648.86 = 380,153.22/x
  3. Step 3: Cross multiply
    632,873.22x = 948,648.86 × 380,153.22
  4. Step 4: Simplify right side
    632,873.22x = 360,631,918,778.33
  5. Step 5: Solve for x
    x = 360,631,918,778.33/632,873.22
  6. Step 6: Final answer
    x = 569,832.80

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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.