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Finding the Fourth Proportional to 514,489.48, 771,763.38 and 159,553.96

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Solution

The fourth proportional to 514,489.48, 771,763.38 and 159,553.96 is: 239,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,489.48 : 771,763.38 = 159,553.96 : x
  2. Step 2: Convert to fraction form
    514,489.48/771,763.38 = 159,553.96/x
  3. Step 3: Cross multiply
    514,489.48x = 771,763.38 × 159,553.96
  4. Step 4: Simplify right side
    514,489.48x = 123,137,903,461.99
  5. Step 5: Solve for x
    x = 123,137,903,461.99/514,489.48
  6. Step 6: Final answer
    x = 239,339.98

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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.