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Finding the Fourth Proportional to 665,092.78, 997,786.80 and 191,741.20

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Solution

The fourth proportional to 665,092.78, 997,786.80 and 191,741.20 is: 287,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,092.78 : 997,786.80 = 191,741.20 : x
  2. Step 2: Convert to fraction form
    665,092.78/997,786.80 = 191,741.20/x
  3. Step 3: Cross multiply
    665,092.78x = 997,786.80 × 191,741.20
  4. Step 4: Simplify right side
    665,092.78x = 191,316,838,376.16
  5. Step 5: Solve for x
    x = 191,316,838,376.16/665,092.78
  6. Step 6: Final answer
    x = 287,654.36

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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.