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Finding the Fourth Proportional to 379,979, 524,580.30 and 284,451.32

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Solution

The fourth proportional to 379,979, 524,580.30 and 284,451.32 is: 392,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,979 : 524,580.30 = 284,451.32 : x
  2. Step 2: Convert to fraction form
    379,979/524,580.30 = 284,451.32/x
  3. Step 3: Cross multiply
    379,979x = 524,580.30 × 284,451.32
  4. Step 4: Simplify right side
    379,979x = 149,217,558,781.00
  5. Step 5: Solve for x
    x = 149,217,558,781.00/379,979
  6. Step 6: Final answer
    x = 392,699.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.