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Finding the Fourth Proportional to 380,680.80, 571,093.29 and 152,994.11

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Solution

The fourth proportional to 380,680.80, 571,093.29 and 152,994.11 is: 229,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,680.80 : 571,093.29 = 152,994.11 : x
  2. Step 2: Convert to fraction form
    380,680.80/571,093.29 = 152,994.11/x
  3. Step 3: Cross multiply
    380,680.80x = 571,093.29 × 152,994.11
  4. Step 4: Simplify right side
    380,680.80x = 87,373,906,010.08
  5. Step 5: Solve for x
    x = 87,373,906,010.08/380,680.80
  6. Step 6: Final answer
    x = 229,520.13

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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.