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Finding the Fourth Proportional to 466,103.40, 699,680.70 and 308,639.40

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Solution

The fourth proportional to 466,103.40, 699,680.70 and 308,639.40 is: 463,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,103.40 : 699,680.70 = 308,639.40 : x
  2. Step 2: Convert to fraction form
    466,103.40/699,680.70 = 308,639.40/x
  3. Step 3: Cross multiply
    466,103.40x = 699,680.70 × 308,639.40
  4. Step 4: Simplify right side
    466,103.40x = 215,949,031,439.58
  5. Step 5: Solve for x
    x = 215,949,031,439.58/466,103.40
  6. Step 6: Final answer
    x = 463,307.14

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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.