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Finding the Fourth Proportional to 547,285.30, 821,446.35 and 337,333.30

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Solution

The fourth proportional to 547,285.30, 821,446.35 and 337,333.30 is: 506,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,285.30 : 821,446.35 = 337,333.30 : x
  2. Step 2: Convert to fraction form
    547,285.30/821,446.35 = 337,333.30/x
  3. Step 3: Cross multiply
    547,285.30x = 821,446.35 × 337,333.30
  4. Step 4: Simplify right side
    547,285.30x = 277,101,208,018.46
  5. Step 5: Solve for x
    x = 277,101,208,018.46/547,285.30
  6. Step 6: Final answer
    x = 506,319.48

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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.