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Finding the Fourth Proportional to 384,596.54, 576,531.93 and 135,142.46

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Solution

The fourth proportional to 384,596.54, 576,531.93 and 135,142.46 is: 202,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,596.54 : 576,531.93 = 135,142.46 : x
  2. Step 2: Convert to fraction form
    384,596.54/576,531.93 = 135,142.46/x
  3. Step 3: Cross multiply
    384,596.54x = 576,531.93 × 135,142.46
  4. Step 4: Simplify right side
    384,596.54x = 77,913,943,288.75
  5. Step 5: Solve for x
    x = 77,913,943,288.75/384,596.54
  6. Step 6: Final answer
    x = 202,586.18

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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.