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Finding the Fourth Proportional to 465,964.56, 698,921.64 and 150,421.50

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Solution

The fourth proportional to 465,964.56, 698,921.64 and 150,421.50 is: 225,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,964.56 : 698,921.64 = 150,421.50 : x
  2. Step 2: Convert to fraction form
    465,964.56/698,921.64 = 150,421.50/x
  3. Step 3: Cross multiply
    465,964.56x = 698,921.64 × 150,421.50
  4. Step 4: Simplify right side
    465,964.56x = 105,132,841,471.26
  5. Step 5: Solve for x
    x = 105,132,841,471.26/465,964.56
  6. Step 6: Final answer
    x = 225,624.11

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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.