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Finding the Fourth Proportional to 384,158.07, 574,842.60 and 277,755.12

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Solution

The fourth proportional to 384,158.07, 574,842.60 and 277,755.12 is: 415,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,158.07 : 574,842.60 = 277,755.12 : x
  2. Step 2: Convert to fraction form
    384,158.07/574,842.60 = 277,755.12/x
  3. Step 3: Cross multiply
    384,158.07x = 574,842.60 × 277,755.12
  4. Step 4: Simplify right side
    384,158.07x = 159,665,475,344.11
  5. Step 5: Solve for x
    x = 159,665,475,344.11/384,158.07
  6. Step 6: Final answer
    x = 415,624.42

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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.