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Finding the Fourth Proportional to 405,500.46, 608,587.65 and 216,167.82

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Solution

The fourth proportional to 405,500.46, 608,587.65 and 216,167.82 is: 324,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,500.46 : 608,587.65 = 216,167.82 : x
  2. Step 2: Convert to fraction form
    405,500.46/608,587.65 = 216,167.82/x
  3. Step 3: Cross multiply
    405,500.46x = 608,587.65 × 216,167.82
  4. Step 4: Simplify right side
    405,500.46x = 131,557,065,579.42
  5. Step 5: Solve for x
    x = 131,557,065,579.42/405,500.46
  6. Step 6: Final answer
    x = 324,431.36

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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.