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Finding the Fourth Proportional to 465,824.64, 698,884.58 and 166,298.61

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Solution

The fourth proportional to 465,824.64, 698,884.58 and 166,298.61 is: 249,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,824.64 : 698,884.58 = 166,298.61 : x
  2. Step 2: Convert to fraction form
    465,824.64/698,884.58 = 166,298.61/x
  3. Step 3: Cross multiply
    465,824.64x = 698,884.58 × 166,298.61
  4. Step 4: Simplify right side
    465,824.64x = 116,223,534,204.43
  5. Step 5: Solve for x
    x = 116,223,534,204.43/465,824.64
  6. Step 6: Final answer
    x = 249,500.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.