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Finding the Fourth Proportional to 288,928.06, 398,723.25 and 161,615.50

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Solution

The fourth proportional to 288,928.06, 398,723.25 and 161,615.50 is: 223,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,928.06 : 398,723.25 = 161,615.50 : x
  2. Step 2: Convert to fraction form
    288,928.06/398,723.25 = 161,615.50/x
  3. Step 3: Cross multiply
    288,928.06x = 398,723.25 × 161,615.50
  4. Step 4: Simplify right side
    288,928.06x = 64,439,857,410.38
  5. Step 5: Solve for x
    x = 64,439,857,410.38/288,928.06
  6. Step 6: Final answer
    x = 223,030.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.