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Finding the Fourth Proportional to 514,185.62, 771,314.43 and 159,152.90

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Solution

The fourth proportional to 514,185.62, 771,314.43 and 159,152.90 is: 238,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,185.62 : 771,314.43 = 159,152.90 : x
  2. Step 2: Convert to fraction form
    514,185.62/771,314.43 = 159,152.90/x
  3. Step 3: Cross multiply
    514,185.62x = 771,314.43 × 159,152.90
  4. Step 4: Simplify right side
    514,185.62x = 122,756,928,346.35
  5. Step 5: Solve for x
    x = 122,756,928,346.35/514,185.62
  6. Step 6: Final answer
    x = 238,740.49

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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.