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Finding the Fourth Proportional to 384,520.35, 576,468.27 and 160,048.81

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Solution

The fourth proportional to 384,520.35, 576,468.27 and 160,048.81 is: 239,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,520.35 : 576,468.27 = 160,048.81 : x
  2. Step 2: Convert to fraction form
    384,520.35/576,468.27 = 160,048.81/x
  3. Step 3: Cross multiply
    384,520.35x = 576,468.27 × 160,048.81
  4. Step 4: Simplify right side
    384,520.35x = 92,263,060,616.26
  5. Step 5: Solve for x
    x = 92,263,060,616.26/384,520.35
  6. Step 6: Final answer
    x = 239,943.25

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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.