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Finding the Fourth Proportional to 564,466.87, 846,760.43 and 165,109.74

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Solution

The fourth proportional to 564,466.87, 846,760.43 and 165,109.74 is: 247,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,466.87 : 846,760.43 = 165,109.74 : x
  2. Step 2: Convert to fraction form
    564,466.87/846,760.43 = 165,109.74/x
  3. Step 3: Cross multiply
    564,466.87x = 846,760.43 × 165,109.74
  4. Step 4: Simplify right side
    564,466.87x = 139,808,394,439.59
  5. Step 5: Solve for x
    x = 139,808,394,439.59/564,466.87
  6. Step 6: Final answer
    x = 247,682.20

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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.