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Finding the Fourth Proportional to 514,117.44, 771,208.83 and 159,101.64

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Solution

The fourth proportional to 514,117.44, 771,208.83 and 159,101.64 is: 238,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,117.44 : 771,208.83 = 159,101.64 : x
  2. Step 2: Convert to fraction form
    514,117.44/771,208.83 = 159,101.64/x
  3. Step 3: Cross multiply
    514,117.44x = 771,208.83 × 159,101.64
  4. Step 4: Simplify right side
    514,117.44x = 122,700,589,635.48
  5. Step 5: Solve for x
    x = 122,700,589,635.48/514,117.44
  6. Step 6: Final answer
    x = 238,662.57

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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.