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Finding the Fourth Proportional to 270,974.48, 406,713.80 and 137,954.24

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Solution

The fourth proportional to 270,974.48, 406,713.80 and 137,954.24 is: 207,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,974.48 : 406,713.80 = 137,954.24 : x
  2. Step 2: Convert to fraction form
    270,974.48/406,713.80 = 137,954.24/x
  3. Step 3: Cross multiply
    270,974.48x = 406,713.80 × 137,954.24
  4. Step 4: Simplify right side
    270,974.48x = 56,107,893,176.51
  5. Step 5: Solve for x
    x = 56,107,893,176.51/270,974.48
  6. Step 6: Final answer
    x = 207,059.69

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1.5x scale

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.