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Finding the Fourth Proportional to 514,548.90, 771,898.07 and 159,591.51

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Solution

The fourth proportional to 514,548.90, 771,898.07 and 159,591.51 is: 239,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,548.90 : 771,898.07 = 159,591.51 : x
  2. Step 2: Convert to fraction form
    514,548.90/771,898.07 = 159,591.51/x
  3. Step 3: Cross multiply
    514,548.90x = 771,898.07 × 159,591.51
  4. Step 4: Simplify right side
    514,548.90x = 123,188,378,557.39
  5. Step 5: Solve for x
    x = 123,188,378,557.39/514,548.90
  6. Step 6: Final answer
    x = 239,410.44

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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.