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Finding the Fourth Proportional to 469,745.76, 704,616.73 and 170,156.22

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Solution

The fourth proportional to 469,745.76, 704,616.73 and 170,156.22 is: 255,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,745.76 : 704,616.73 = 170,156.22 : x
  2. Step 2: Convert to fraction form
    469,745.76/704,616.73 = 170,156.22/x
  3. Step 3: Cross multiply
    469,745.76x = 704,616.73 × 170,156.22
  4. Step 4: Simplify right side
    469,745.76x = 119,894,919,325.56
  5. Step 5: Solve for x
    x = 119,894,919,325.56/469,745.76
  6. Step 6: Final answer
    x = 255,233.64

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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.