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Finding the Fourth Proportional to 472,414.20, 708,621.30 and 454,043.40

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Solution

The fourth proportional to 472,414.20, 708,621.30 and 454,043.40 is: 681,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,414.20 : 708,621.30 = 454,043.40 : x
  2. Step 2: Convert to fraction form
    472,414.20/708,621.30 = 454,043.40/x
  3. Step 3: Cross multiply
    472,414.20x = 708,621.30 × 454,043.40
  4. Step 4: Simplify right side
    472,414.20x = 321,744,824,364.42
  5. Step 5: Solve for x
    x = 321,744,824,364.42/472,414.20
  6. Step 6: Final answer
    x = 681,065.10

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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.