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Finding the Fourth Proportional to 364,181.40, 546,272.10 and 206,717.40

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Solution

The fourth proportional to 364,181.40, 546,272.10 and 206,717.40 is: 310,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,181.40 : 546,272.10 = 206,717.40 : x
  2. Step 2: Convert to fraction form
    364,181.40/546,272.10 = 206,717.40/x
  3. Step 3: Cross multiply
    364,181.40x = 546,272.10 × 206,717.40
  4. Step 4: Simplify right side
    364,181.40x = 112,923,948,204.54
  5. Step 5: Solve for x
    x = 112,923,948,204.54/364,181.40
  6. Step 6: Final answer
    x = 310,076.10

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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.