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Finding the Fourth Proportional to 384,747.82, 576,810.43 and 160,276.88

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Solution

The fourth proportional to 384,747.82, 576,810.43 and 160,276.88 is: 240,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747.82 : 576,810.43 = 160,276.88 : x
  2. Step 2: Convert to fraction form
    384,747.82/576,810.43 = 160,276.88/x
  3. Step 3: Cross multiply
    384,747.82x = 576,810.43 × 160,276.88
  4. Step 4: Simplify right side
    384,747.82x = 92,449,374,094.02
  5. Step 5: Solve for x
    x = 92,449,374,094.02/384,747.82
  6. Step 6: Final answer
    x = 240,285.63

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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.