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Finding the Fourth Proportional to 643,641.22, 965,468.94 and 194,365.90

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Solution

The fourth proportional to 643,641.22, 965,468.94 and 194,365.90 is: 291,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,641.22 : 965,468.94 = 194,365.90 : x
  2. Step 2: Convert to fraction form
    643,641.22/965,468.94 = 194,365.90/x
  3. Step 3: Cross multiply
    643,641.22x = 965,468.94 × 194,365.90
  4. Step 4: Simplify right side
    643,641.22x = 187,654,239,445.15
  5. Step 5: Solve for x
    x = 187,654,239,445.15/643,641.22
  6. Step 6: Final answer
    x = 291,551.00

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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.