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Finding the Fourth Proportional to 655,863.66, 984,356.25 and 256,784.70

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Solution

The fourth proportional to 655,863.66, 984,356.25 and 256,784.70 is: 385,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,863.66 : 984,356.25 = 256,784.70 : x
  2. Step 2: Convert to fraction form
    655,863.66/984,356.25 = 256,784.70/x
  3. Step 3: Cross multiply
    655,863.66x = 984,356.25 × 256,784.70
  4. Step 4: Simplify right side
    655,863.66x = 252,767,624,349.38
  5. Step 5: Solve for x
    x = 252,767,624,349.38/655,863.66
  6. Step 6: Final answer
    x = 385,396.60

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Why These Related Problems?

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