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Finding the Fourth Proportional to 564,222.57, 846,470.54 and 324,489.90

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Solution

The fourth proportional to 564,222.57, 846,470.54 and 324,489.90 is: 486,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,222.57 : 846,470.54 = 324,489.90 : x
  2. Step 2: Convert to fraction form
    564,222.57/846,470.54 = 324,489.90/x
  3. Step 3: Cross multiply
    564,222.57x = 846,470.54 × 324,489.90
  4. Step 4: Simplify right side
    564,222.57x = 274,671,140,877.55
  5. Step 5: Solve for x
    x = 274,671,140,877.55/564,222.57
  6. Step 6: Final answer
    x = 486,813.46

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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.