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Finding the Fourth Proportional to 384,593.54, 576,890.75 and 100,283.84

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Solution

The fourth proportional to 384,593.54, 576,890.75 and 100,283.84 is: 150,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,593.54 : 576,890.75 = 100,283.84 : x
  2. Step 2: Convert to fraction form
    384,593.54/576,890.75 = 100,283.84/x
  3. Step 3: Cross multiply
    384,593.54x = 576,890.75 × 100,283.84
  4. Step 4: Simplify right side
    384,593.54x = 57,852,816,284.61
  5. Step 5: Solve for x
    x = 57,852,816,284.61/384,593.54
  6. Step 6: Final answer
    x = 150,425.87

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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.