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Finding the Fourth Proportional to 384,195.51, 576,228.24 and 140,986.53

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Solution

The fourth proportional to 384,195.51, 576,228.24 and 140,986.53 is: 211,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,195.51 : 576,228.24 = 140,986.53 : x
  2. Step 2: Convert to fraction form
    384,195.51/576,228.24 = 140,986.53/x
  3. Step 3: Cross multiply
    384,195.51x = 576,228.24 × 140,986.53
  4. Step 4: Simplify right side
    384,195.51x = 81,240,420,045.61
  5. Step 5: Solve for x
    x = 81,240,420,045.61/384,195.51
  6. Step 6: Final answer
    x = 211,455.93

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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.