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Finding the Fourth Proportional to 547,244.40, 820,175.40 and 266,156.40

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Solution

The fourth proportional to 547,244.40, 820,175.40 and 266,156.40 is: 398,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,244.40 : 820,175.40 = 266,156.40 : x
  2. Step 2: Convert to fraction form
    547,244.40/820,175.40 = 266,156.40/x
  3. Step 3: Cross multiply
    547,244.40x = 820,175.40 × 266,156.40
  4. Step 4: Simplify right side
    547,244.40x = 218,294,931,832.56
  5. Step 5: Solve for x
    x = 218,294,931,832.56/547,244.40
  6. Step 6: Final answer
    x = 398,898.43

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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.