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Finding the Fourth Proportional to 334,930.80, 462,177.72 and 191,658

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Solution

The fourth proportional to 334,930.80, 462,177.72 and 191,658 is: 264,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,930.80 : 462,177.72 = 191,658 : x
  2. Step 2: Convert to fraction form
    334,930.80/462,177.72 = 191,658/x
  3. Step 3: Cross multiply
    334,930.80x = 462,177.72 × 191,658
  4. Step 4: Simplify right side
    334,930.80x = 88,580,057,459.76
  5. Step 5: Solve for x
    x = 88,580,057,459.76/334,930.80
  6. Step 6: Final answer
    x = 264,472.71

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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.