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Finding the Fourth Proportional to 547,454.12, 821,441.10 and 379,233.32

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Solution

The fourth proportional to 547,454.12, 821,441.10 and 379,233.32 is: 569,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,454.12 : 821,441.10 = 379,233.32 : x
  2. Step 2: Convert to fraction form
    547,454.12/821,441.10 = 379,233.32/x
  3. Step 3: Cross multiply
    547,454.12x = 821,441.10 × 379,233.32
  4. Step 4: Simplify right side
    547,454.12x = 311,517,835,537.45
  5. Step 5: Solve for x
    x = 311,517,835,537.45/547,454.12
  6. Step 6: Final answer
    x = 569,030.03

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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.