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Finding the Fourth Proportional to 384,018.20, 576,027.30 and 117,776.60

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Solution

The fourth proportional to 384,018.20, 576,027.30 and 117,776.60 is: 176,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,018.20 : 576,027.30 = 117,776.60 : x
  2. Step 2: Convert to fraction form
    384,018.20/576,027.30 = 117,776.60/x
  3. Step 3: Cross multiply
    384,018.20x = 576,027.30 × 117,776.60
  4. Step 4: Simplify right side
    384,018.20x = 67,842,536,901.18
  5. Step 5: Solve for x
    x = 67,842,536,901.18/384,018.20
  6. Step 6: Final answer
    x = 176,664.90

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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.