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Finding the Fourth Proportional to 514,692.28, 772,088.30 and 159,610.96

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Solution

The fourth proportional to 514,692.28, 772,088.30 and 159,610.96 is: 239,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,692.28 : 772,088.30 = 159,610.96 : x
  2. Step 2: Convert to fraction form
    514,692.28/772,088.30 = 159,610.96/x
  3. Step 3: Cross multiply
    514,692.28x = 772,088.30 × 159,610.96
  4. Step 4: Simplify right side
    514,692.28x = 123,233,752,088.18
  5. Step 5: Solve for x
    x = 123,233,752,088.18/514,692.28
  6. Step 6: Final answer
    x = 239,431.91

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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.