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Finding the Fourth Proportional to 547,337.40, 821,006.10 and 396,871.80

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Solution

The fourth proportional to 547,337.40, 821,006.10 and 396,871.80 is: 595,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,337.40 : 821,006.10 = 396,871.80 : x
  2. Step 2: Convert to fraction form
    547,337.40/821,006.10 = 396,871.80/x
  3. Step 3: Cross multiply
    547,337.40x = 821,006.10 × 396,871.80
  4. Step 4: Simplify right side
    547,337.40x = 325,834,168,717.98
  5. Step 5: Solve for x
    x = 325,834,168,717.98/547,337.40
  6. Step 6: Final answer
    x = 595,307.70

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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.