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Finding the Fourth Proportional to 514,488.98, 771,762.63 and 159,553.46

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Solution

The fourth proportional to 514,488.98, 771,762.63 and 159,553.46 is: 239,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,488.98 : 771,762.63 = 159,553.46 : x
  2. Step 2: Convert to fraction form
    514,488.98/771,762.63 = 159,553.46/x
  3. Step 3: Cross multiply
    514,488.98x = 771,762.63 × 159,553.46
  4. Step 4: Simplify right side
    514,488.98x = 123,137,394,056.39
  5. Step 5: Solve for x
    x = 123,137,394,056.39/514,488.98
  6. Step 6: Final answer
    x = 239,339.23

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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.