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Finding the Fourth Proportional to 379,980, 524,581.68 and 284,452.32

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Solution

The fourth proportional to 379,980, 524,581.68 and 284,452.32 is: 392,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,980 : 524,581.68 = 284,452.32 : x
  2. Step 2: Convert to fraction form
    379,980/524,581.68 = 284,452.32/x
  3. Step 3: Cross multiply
    379,980x = 524,581.68 × 284,452.32
  4. Step 4: Simplify right side
    379,980x = 149,218,475,905.50
  5. Step 5: Solve for x
    x = 149,218,475,905.50/379,980
  6. Step 6: Final answer
    x = 392,700.87

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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.