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Finding the Fourth Proportional to 403,856.45, 557,224.02 and 229,387.84

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Solution

The fourth proportional to 403,856.45, 557,224.02 and 229,387.84 is: 316,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,856.45 : 557,224.02 = 229,387.84 : x
  2. Step 2: Convert to fraction form
    403,856.45/557,224.02 = 229,387.84/x
  3. Step 3: Cross multiply
    403,856.45x = 557,224.02 × 229,387.84
  4. Step 4: Simplify right side
    403,856.45x = 127,820,414,343.92
  5. Step 5: Solve for x
    x = 127,820,414,343.92/403,856.45
  6. Step 6: Final answer
    x = 316,499.62

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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.