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Finding the Fourth Proportional to 314,326.88, 433,780.44 and 193,537.84

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Solution

The fourth proportional to 314,326.88, 433,780.44 and 193,537.84 is: 267,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,326.88 : 433,780.44 = 193,537.84 : x
  2. Step 2: Convert to fraction form
    314,326.88/433,780.44 = 193,537.84/x
  3. Step 3: Cross multiply
    314,326.88x = 433,780.44 × 193,537.84
  4. Step 4: Simplify right side
    314,326.88x = 83,952,929,391.85
  5. Step 5: Solve for x
    x = 83,952,929,391.85/314,326.88
  6. Step 6: Final answer
    x = 267,087.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.