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Finding the Fourth Proportional to 384,275.85, 576,434.79 and 159,659.00

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Solution

The fourth proportional to 384,275.85, 576,434.79 and 159,659.00 is: 239,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,275.85 : 576,434.79 = 159,659.00 : x
  2. Step 2: Convert to fraction form
    384,275.85/576,434.79 = 159,659.00/x
  3. Step 3: Cross multiply
    384,275.85x = 576,434.79 × 159,659.00
  4. Step 4: Simplify right side
    384,275.85x = 92,032,999,254.44
  5. Step 5: Solve for x
    x = 92,032,999,254.44/384,275.85
  6. Step 6: Final answer
    x = 239,497.22

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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.