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Finding the Fourth Proportional to 465,829.14, 698,891.40 and 166,303.30

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Solution

The fourth proportional to 465,829.14, 698,891.40 and 166,303.30 is: 249,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,829.14 : 698,891.40 = 166,303.30 : x
  2. Step 2: Convert to fraction form
    465,829.14/698,891.40 = 166,303.30/x
  3. Step 3: Cross multiply
    465,829.14x = 698,891.40 × 166,303.30
  4. Step 4: Simplify right side
    465,829.14x = 116,227,946,161.62
  5. Step 5: Solve for x
    x = 116,227,946,161.62/465,829.14
  6. Step 6: Final answer
    x = 249,507.68

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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.