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Finding the Fourth Proportional to 647,546.70, 971,320.05 and 398,369.10

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Solution

The fourth proportional to 647,546.70, 971,320.05 and 398,369.10 is: 597,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,546.70 : 971,320.05 = 398,369.10 : x
  2. Step 2: Convert to fraction form
    647,546.70/971,320.05 = 398,369.10/x
  3. Step 3: Cross multiply
    647,546.70x = 971,320.05 × 398,369.10
  4. Step 4: Simplify right side
    647,546.70x = 386,943,894,130.46
  5. Step 5: Solve for x
    x = 386,943,894,130.46/647,546.70
  6. Step 6: Final answer
    x = 597,553.65

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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.