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Finding the Fourth Proportional to 564,310.40, 846,449.19 and 164,960.55

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Solution

The fourth proportional to 564,310.40, 846,449.19 and 164,960.55 is: 247,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,310.40 : 846,449.19 = 164,960.55 : x
  2. Step 2: Convert to fraction form
    564,310.40/846,449.19 = 164,960.55/x
  3. Step 3: Cross multiply
    564,310.40x = 846,449.19 × 164,960.55
  4. Step 4: Simplify right side
    564,310.40x = 139,630,723,929.45
  5. Step 5: Solve for x
    x = 139,630,723,929.45/564,310.40
  6. Step 6: Final answer
    x = 247,436.03

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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.