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Finding the Fourth Proportional to 338,394.88, 507,573.64 and 113,732.12

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Solution

The fourth proportional to 338,394.88, 507,573.64 and 113,732.12 is: 170,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,394.88 : 507,573.64 = 113,732.12 : x
  2. Step 2: Convert to fraction form
    338,394.88/507,573.64 = 113,732.12/x
  3. Step 3: Cross multiply
    338,394.88x = 507,573.64 × 113,732.12
  4. Step 4: Simplify right side
    338,394.88x = 57,727,424,689.31
  5. Step 5: Solve for x
    x = 57,727,424,689.31/338,394.88
  6. Step 6: Final answer
    x = 170,591.90

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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.