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Finding the Fourth Proportional to 416,707.48, 625,078.50 and 121,219.48

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Solution

The fourth proportional to 416,707.48, 625,078.50 and 121,219.48 is: 181,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,707.48 : 625,078.50 = 121,219.48 : x
  2. Step 2: Convert to fraction form
    416,707.48/625,078.50 = 121,219.48/x
  3. Step 3: Cross multiply
    416,707.48x = 625,078.50 × 121,219.48
  4. Step 4: Simplify right side
    416,707.48x = 75,771,690,729.18
  5. Step 5: Solve for x
    x = 75,771,690,729.18/416,707.48
  6. Step 6: Final answer
    x = 181,834.25

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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.