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Finding the Fourth Proportional to 472,384.20, 708,576.30 and 454,013.40

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Solution

The fourth proportional to 472,384.20, 708,576.30 and 454,013.40 is: 681,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,384.20 : 708,576.30 = 454,013.40 : x
  2. Step 2: Convert to fraction form
    472,384.20/708,576.30 = 454,013.40/x
  3. Step 3: Cross multiply
    472,384.20x = 708,576.30 × 454,013.40
  4. Step 4: Simplify right side
    472,384.20x = 321,703,135,122.42
  5. Step 5: Solve for x
    x = 321,703,135,122.42/472,384.20
  6. Step 6: Final answer
    x = 681,020.10

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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.