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Finding the Fourth Proportional to 632,258.48, 948,405 and 211,519.28

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Solution

The fourth proportional to 632,258.48, 948,405 and 211,519.28 is: 317,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,258.48 : 948,405 = 211,519.28 : x
  2. Step 2: Convert to fraction form
    632,258.48/948,405 = 211,519.28/x
  3. Step 3: Cross multiply
    632,258.48x = 948,405 × 211,519.28
  4. Step 4: Simplify right side
    632,258.48x = 200,605,942,748.40
  5. Step 5: Solve for x
    x = 200,605,942,748.40/632,258.48
  6. Step 6: Final answer
    x = 317,284.70

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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.