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Finding the Fourth Proportional to 466,819.76, 700,820.13 and 397,141.94

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Solution

The fourth proportional to 466,819.76, 700,820.13 and 397,141.94 is: 596,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,819.76 : 700,820.13 = 397,141.94 : x
  2. Step 2: Convert to fraction form
    466,819.76/700,820.13 = 397,141.94/x
  3. Step 3: Cross multiply
    466,819.76x = 700,820.13 × 397,141.94
  4. Step 4: Simplify right side
    466,819.76x = 278,325,062,515.15
  5. Step 5: Solve for x
    x = 278,325,062,515.15/466,819.76
  6. Step 6: Final answer
    x = 596,215.26

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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.