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Finding the Fourth Proportional to 322,517.55, 484,292.70 and 256,506.60

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Solution

The fourth proportional to 322,517.55, 484,292.70 and 256,506.60 is: 385,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,517.55 : 484,292.70 = 256,506.60 : x
  2. Step 2: Convert to fraction form
    322,517.55/484,292.70 = 256,506.60/x
  3. Step 3: Cross multiply
    322,517.55x = 484,292.70 × 256,506.60
  4. Step 4: Simplify right side
    322,517.55x = 124,224,273,881.82
  5. Step 5: Solve for x
    x = 124,224,273,881.82/322,517.55
  6. Step 6: Final answer
    x = 385,170.59

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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.