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Finding the Fourth Proportional to 337,696.90, 466,047.01 and 192,506.14

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Solution

The fourth proportional to 337,696.90, 466,047.01 and 192,506.14 is: 265,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,696.90 : 466,047.01 = 192,506.14 : x
  2. Step 2: Convert to fraction form
    337,696.90/466,047.01 = 192,506.14/x
  3. Step 3: Cross multiply
    337,696.90x = 466,047.01 × 192,506.14
  4. Step 4: Simplify right side
    337,696.90x = 89,716,910,953.64
  5. Step 5: Solve for x
    x = 89,716,910,953.64/337,696.90
  6. Step 6: Final answer
    x = 265,672.89

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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.