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Finding the Fourth Proportional to 297,988.56, 411,232.20 and 162,031.56

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Solution

The fourth proportional to 297,988.56, 411,232.20 and 162,031.56 is: 223,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,988.56 : 411,232.20 = 162,031.56 : x
  2. Step 2: Convert to fraction form
    297,988.56/411,232.20 = 162,031.56/x
  3. Step 3: Cross multiply
    297,988.56x = 411,232.20 × 162,031.56
  4. Step 4: Simplify right side
    297,988.56x = 66,632,594,888.23
  5. Step 5: Solve for x
    x = 66,632,594,888.23/297,988.56
  6. Step 6: Final answer
    x = 223,607.90

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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.