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Finding the Fourth Proportional to 469,462.52, 704,174.22 and 216,659

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Solution

The fourth proportional to 469,462.52, 704,174.22 and 216,659 is: 324,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,462.52 : 704,174.22 = 216,659 : x
  2. Step 2: Convert to fraction form
    469,462.52/704,174.22 = 216,659/x
  3. Step 3: Cross multiply
    469,462.52x = 704,174.22 × 216,659
  4. Step 4: Simplify right side
    469,462.52x = 152,565,682,330.98
  5. Step 5: Solve for x
    x = 152,565,682,330.98/469,462.52
  6. Step 6: Final answer
    x = 324,979.47

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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.