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Finding the Fourth Proportional to 384,426.90, 576,424.37 and 159,636.11

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Solution

The fourth proportional to 384,426.90, 576,424.37 and 159,636.11 is: 239,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,426.90 : 576,424.37 = 159,636.11 : x
  2. Step 2: Convert to fraction form
    384,426.90/576,424.37 = 159,636.11/x
  3. Step 3: Cross multiply
    384,426.90x = 576,424.37 × 159,636.11
  4. Step 4: Simplify right side
    384,426.90x = 92,018,140,455.70
  5. Step 5: Solve for x
    x = 92,018,140,455.70/384,426.90
  6. Step 6: Final answer
    x = 239,364.47

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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.