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Finding the Fourth Proportional to 380,358.49, 570,826.83 and 140,699.14

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Solution

The fourth proportional to 380,358.49, 570,826.83 and 140,699.14 is: 211,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,358.49 : 570,826.83 = 140,699.14 : x
  2. Step 2: Convert to fraction form
    380,358.49/570,826.83 = 140,699.14/x
  3. Step 3: Cross multiply
    380,358.49x = 570,826.83 × 140,699.14
  4. Step 4: Simplify right side
    380,358.49x = 80,314,844,069.93
  5. Step 5: Solve for x
    x = 80,314,844,069.93/380,358.49
  6. Step 6: Final answer
    x = 211,155.65

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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.