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Finding the Fourth Proportional to 564,351.69, 846,606.96 and 165,022.50

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Solution

The fourth proportional to 564,351.69, 846,606.96 and 165,022.50 is: 247,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,351.69 : 846,606.96 = 165,022.50 : x
  2. Step 2: Convert to fraction form
    564,351.69/846,606.96 = 165,022.50/x
  3. Step 3: Cross multiply
    564,351.69x = 846,606.96 × 165,022.50
  4. Step 4: Simplify right side
    564,351.69x = 139,709,197,056.60
  5. Step 5: Solve for x
    x = 139,709,197,056.60/564,351.69
  6. Step 6: Final answer
    x = 247,556.97

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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.