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Finding the Fourth Proportional to 385,813.12, 532,606.62 and 256,965.88

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Solution

The fourth proportional to 385,813.12, 532,606.62 and 256,965.88 is: 354,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,813.12 : 532,606.62 = 256,965.88 : x
  2. Step 2: Convert to fraction form
    385,813.12/532,606.62 = 256,965.88/x
  3. Step 3: Cross multiply
    385,813.12x = 532,606.62 × 256,965.88
  4. Step 4: Simplify right side
    385,813.12x = 136,861,728,802.13
  5. Step 5: Solve for x
    x = 136,861,728,802.13/385,813.12
  6. Step 6: Final answer
    x = 354,735.81

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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.