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Finding the Fourth Proportional to 465,814.58, 698,869.49 and 166,288.52

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Solution

The fourth proportional to 465,814.58, 698,869.49 and 166,288.52 is: 249,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,814.58 : 698,869.49 = 166,288.52 : x
  2. Step 2: Convert to fraction form
    465,814.58/698,869.49 = 166,288.52/x
  3. Step 3: Cross multiply
    465,814.58x = 698,869.49 × 166,288.52
  4. Step 4: Simplify right side
    465,814.58x = 116,213,968,839.47
  5. Step 5: Solve for x
    x = 116,213,968,839.47/465,814.58
  6. Step 6: Final answer
    x = 249,485.47

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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.