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Finding the Fourth Proportional to 331,985.40, 497,384.10 and 201,917.40

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Solution

The fourth proportional to 331,985.40, 497,384.10 and 201,917.40 is: 302,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,985.40 : 497,384.10 = 201,917.40 : x
  2. Step 2: Convert to fraction form
    331,985.40/497,384.10 = 201,917.40/x
  3. Step 3: Cross multiply
    331,985.40x = 497,384.10 × 201,917.40
  4. Step 4: Simplify right side
    331,985.40x = 100,430,504,273.34
  5. Step 5: Solve for x
    x = 100,430,504,273.34/331,985.40
  6. Step 6: Final answer
    x = 302,514.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.