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Finding the Fourth Proportional to 617,419.20, 925,610.40 and 321,931.20

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Solution

The fourth proportional to 617,419.20, 925,610.40 and 321,931.20 is: 482,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,419.20 : 925,610.40 = 321,931.20 : x
  2. Step 2: Convert to fraction form
    617,419.20/925,610.40 = 321,931.20/x
  3. Step 3: Cross multiply
    617,419.20x = 925,610.40 × 321,931.20
  4. Step 4: Simplify right side
    617,419.20x = 297,982,866,804.48
  5. Step 5: Solve for x
    x = 297,982,866,804.48/617,419.20
  6. Step 6: Final answer
    x = 482,626.50

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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.