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Finding the Fourth Proportional to 380,344.14, 570,610.98 and 114,109.56

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Solution

The fourth proportional to 380,344.14, 570,610.98 and 114,109.56 is: 171,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,344.14 : 570,610.98 = 114,109.56 : x
  2. Step 2: Convert to fraction form
    380,344.14/570,610.98 = 114,109.56/x
  3. Step 3: Cross multiply
    380,344.14x = 570,610.98 × 114,109.56
  4. Step 4: Simplify right side
    380,344.14x = 65,112,167,858.97
  5. Step 5: Solve for x
    x = 65,112,167,858.97/380,344.14
  6. Step 6: Final answer
    x = 171,192.77

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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.