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Finding the Fourth Proportional to 331,656.16, 457,696.56 and 180,758.56

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Solution

The fourth proportional to 331,656.16, 457,696.56 and 180,758.56 is: 249,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,656.16 : 457,696.56 = 180,758.56 : x
  2. Step 2: Convert to fraction form
    331,656.16/457,696.56 = 180,758.56/x
  3. Step 3: Cross multiply
    331,656.16x = 457,696.56 × 180,758.56
  4. Step 4: Simplify right side
    331,656.16x = 82,732,571,102.55
  5. Step 5: Solve for x
    x = 82,732,571,102.55/331,656.16
  6. Step 6: Final answer
    x = 249,452.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.