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Finding the Fourth Proportional to 410,094.01, 565,930.29 and 240,328

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Solution

The fourth proportional to 410,094.01, 565,930.29 and 240,328 is: 331,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,094.01 : 565,930.29 = 240,328 : x
  2. Step 2: Convert to fraction form
    410,094.01/565,930.29 = 240,328/x
  3. Step 3: Cross multiply
    410,094.01x = 565,930.29 × 240,328
  4. Step 4: Simplify right side
    410,094.01x = 136,008,894,735.12
  5. Step 5: Solve for x
    x = 136,008,894,735.12/410,094.01
  6. Step 6: Final answer
    x = 331,652.97

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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.