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Finding the Fourth Proportional to 363,495.79, 545,083.30 and 194,965.57

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Solution

The fourth proportional to 363,495.79, 545,083.30 and 194,965.57 is: 292,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,495.79 : 545,083.30 = 194,965.57 : x
  2. Step 2: Convert to fraction form
    363,495.79/545,083.30 = 194,965.57/x
  3. Step 3: Cross multiply
    363,495.79x = 545,083.30 × 194,965.57
  4. Step 4: Simplify right side
    363,495.79x = 106,272,476,281.98
  5. Step 5: Solve for x
    x = 106,272,476,281.98/363,495.79
  6. Step 6: Final answer
    x = 292,362.33

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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.