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Finding the Fourth Proportional to 892,539, 1,338,808.50 and 227,691

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Solution

The fourth proportional to 892,539, 1,338,808.50 and 227,691 is: 341,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,539 : 1,338,808.50 = 227,691 : x
  2. Step 2: Convert to fraction form
    892,539/1,338,808.50 = 227,691/x
  3. Step 3: Cross multiply
    892,539x = 1,338,808.50 × 227,691
  4. Step 4: Simplify right side
    892,539x = 304,834,646,173.50
  5. Step 5: Solve for x
    x = 304,834,646,173.50/892,539
  6. Step 6: Final answer
    x = 341,536.50

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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.