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Finding the Fourth Proportional to 331,411.40, 497,117.10 and 165,523.40

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Solution

The fourth proportional to 331,411.40, 497,117.10 and 165,523.40 is: 248,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,411.40 : 497,117.10 = 165,523.40 : x
  2. Step 2: Convert to fraction form
    331,411.40/497,117.10 = 165,523.40/x
  3. Step 3: Cross multiply
    331,411.40x = 497,117.10 × 165,523.40
  4. Step 4: Simplify right side
    331,411.40x = 82,284,512,590.14
  5. Step 5: Solve for x
    x = 82,284,512,590.14/331,411.40
  6. Step 6: Final answer
    x = 248,285.10

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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.