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Finding the Fourth Proportional to 465,107.40, 696,105.90 and 325,139.40

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Solution

The fourth proportional to 465,107.40, 696,105.90 and 325,139.40 is: 486,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,107.40 : 696,105.90 = 325,139.40 : x
  2. Step 2: Convert to fraction form
    465,107.40/696,105.90 = 325,139.40/x
  3. Step 3: Cross multiply
    465,107.40x = 696,105.90 × 325,139.40
  4. Step 4: Simplify right side
    465,107.40x = 226,331,454,662.46
  5. Step 5: Solve for x
    x = 226,331,454,662.46/465,107.40
  6. Step 6: Final answer
    x = 486,621.92

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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.