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Finding the Fourth Proportional to 514,907.20, 773,235.60 and 381,937.60

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Solution

The fourth proportional to 514,907.20, 773,235.60 and 381,937.60 is: 573,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,907.20 : 773,235.60 = 381,937.60 : x
  2. Step 2: Convert to fraction form
    514,907.20/773,235.60 = 381,937.60/x
  3. Step 3: Cross multiply
    514,907.20x = 773,235.60 × 381,937.60
  4. Step 4: Simplify right side
    514,907.20x = 295,327,749,298.56
  5. Step 5: Solve for x
    x = 295,327,749,298.56/514,907.20
  6. Step 6: Final answer
    x = 573,555.29

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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.