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Finding the Fourth Proportional to 466,969.20, 700,972.20 and 289,676.40

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Solution

The fourth proportional to 466,969.20, 700,972.20 and 289,676.40 is: 434,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,969.20 : 700,972.20 = 289,676.40 : x
  2. Step 2: Convert to fraction form
    466,969.20/700,972.20 = 289,676.40/x
  3. Step 3: Cross multiply
    466,969.20x = 700,972.20 × 289,676.40
  4. Step 4: Simplify right side
    466,969.20x = 203,055,103,396.08
  5. Step 5: Solve for x
    x = 203,055,103,396.08/466,969.20
  6. Step 6: Final answer
    x = 434,836.18

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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.