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Finding the Fourth Proportional to 465,814.35, 698,869.17 and 166,288.50

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Solution

The fourth proportional to 465,814.35, 698,869.17 and 166,288.50 is: 249,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,814.35 : 698,869.17 = 166,288.50 : x
  2. Step 2: Convert to fraction form
    465,814.35/698,869.17 = 166,288.50/x
  3. Step 3: Cross multiply
    465,814.35x = 698,869.17 × 166,288.50
  4. Step 4: Simplify right side
    465,814.35x = 116,213,905,975.55
  5. Step 5: Solve for x
    x = 116,213,905,975.55/465,814.35
  6. Step 6: Final answer
    x = 249,485.46

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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.