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Finding the Fourth Proportional to 514,495.24, 771,772.02 and 159,559.72

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Solution

The fourth proportional to 514,495.24, 771,772.02 and 159,559.72 is: 239,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,495.24 : 771,772.02 = 159,559.72 : x
  2. Step 2: Convert to fraction form
    514,495.24/771,772.02 = 159,559.72/x
  3. Step 3: Cross multiply
    514,495.24x = 771,772.02 × 159,559.72
  4. Step 4: Simplify right side
    514,495.24x = 123,143,727,415.03
  5. Step 5: Solve for x
    x = 123,143,727,415.03/514,495.24
  6. Step 6: Final answer
    x = 239,348.62

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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.