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Finding the Fourth Proportional to 457,964.20, 686,946.30 and 408,975.40

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Solution

The fourth proportional to 457,964.20, 686,946.30 and 408,975.40 is: 613,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,964.20 : 686,946.30 = 408,975.40 : x
  2. Step 2: Convert to fraction form
    457,964.20/686,946.30 = 408,975.40/x
  3. Step 3: Cross multiply
    457,964.20x = 686,946.30 × 408,975.40
  4. Step 4: Simplify right side
    457,964.20x = 280,944,137,821.02
  5. Step 5: Solve for x
    x = 280,944,137,821.02/457,964.20
  6. Step 6: Final answer
    x = 613,463.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.