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Finding the Fourth Proportional to 314,326.76, 433,780.28 and 193,537.73

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Solution

The fourth proportional to 314,326.76, 433,780.28 and 193,537.73 is: 267,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,326.76 : 433,780.28 = 193,537.73 : x
  2. Step 2: Convert to fraction form
    314,326.76/433,780.28 = 193,537.73/x
  3. Step 3: Cross multiply
    314,326.76x = 433,780.28 × 193,537.73
  4. Step 4: Simplify right side
    314,326.76x = 83,952,852,278.26
  5. Step 5: Solve for x
    x = 83,952,852,278.26/314,326.76
  6. Step 6: Final answer
    x = 267,087.83

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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.