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Finding the Fourth Proportional to 384,005.10, 576,007.65 and 243,864.30

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Solution

The fourth proportional to 384,005.10, 576,007.65 and 243,864.30 is: 365,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,005.10 : 576,007.65 = 243,864.30 : x
  2. Step 2: Convert to fraction form
    384,005.10/576,007.65 = 243,864.30/x
  3. Step 3: Cross multiply
    384,005.10x = 576,007.65 × 243,864.30
  4. Step 4: Simplify right side
    384,005.10x = 140,467,702,361.90
  5. Step 5: Solve for x
    x = 140,467,702,361.90/384,005.10
  6. Step 6: Final answer
    x = 365,796.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.