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Finding the Fourth Proportional to 547,083.40, 820,164.30 and 284,427.40

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Solution

The fourth proportional to 547,083.40, 820,164.30 and 284,427.40 is: 426,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,083.40 : 820,164.30 = 284,427.40 : x
  2. Step 2: Convert to fraction form
    547,083.40/820,164.30 = 284,427.40/x
  3. Step 3: Cross multiply
    547,083.40x = 820,164.30 × 284,427.40
  4. Step 4: Simplify right side
    547,083.40x = 233,277,199,421.82
  5. Step 5: Solve for x
    x = 233,277,199,421.82/547,083.40
  6. Step 6: Final answer
    x = 426,401.53

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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.