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Finding the Fourth Proportional to 384,754.88, 576,821 and 160,283.94

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Solution

The fourth proportional to 384,754.88, 576,821 and 160,283.94 is: 240,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,754.88 : 576,821 = 160,283.94 : x
  2. Step 2: Convert to fraction form
    384,754.88/576,821 = 160,283.94/x
  3. Step 3: Cross multiply
    384,754.88x = 576,821 × 160,283.94
  4. Step 4: Simplify right side
    384,754.88x = 92,455,142,554.74
  5. Step 5: Solve for x
    x = 92,455,142,554.74/384,754.88
  6. Step 6: Final answer
    x = 240,296.22

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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.