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Finding the Fourth Proportional to 461,646.44, 637,084.20 and 257,696.52

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Solution

The fourth proportional to 461,646.44, 637,084.20 and 257,696.52 is: 355,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,646.44 : 637,084.20 = 257,696.52 : x
  2. Step 2: Convert to fraction form
    461,646.44/637,084.20 = 257,696.52/x
  3. Step 3: Cross multiply
    461,646.44x = 637,084.20 × 257,696.52
  4. Step 4: Simplify right side
    461,646.44x = 164,174,381,286.98
  5. Step 5: Solve for x
    x = 164,174,381,286.98/461,646.44
  6. Step 6: Final answer
    x = 355,627.96

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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.