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Finding the Fourth Proportional to 531,838.93, 797,651.10 and 194,764.52

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Solution

The fourth proportional to 531,838.93, 797,651.10 and 194,764.52 is: 292,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,838.93 : 797,651.10 = 194,764.52 : x
  2. Step 2: Convert to fraction form
    531,838.93/797,651.10 = 194,764.52/x
  3. Step 3: Cross multiply
    531,838.93x = 797,651.10 × 194,764.52
  4. Step 4: Simplify right side
    531,838.93x = 155,354,129,630.72
  5. Step 5: Solve for x
    x = 155,354,129,630.72/531,838.93
  6. Step 6: Final answer
    x = 292,107.48

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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.