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Finding the Fourth Proportional to 643,402.61, 965,110.40 and 194,127.20

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Solution

The fourth proportional to 643,402.61, 965,110.40 and 194,127.20 is: 291,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,402.61 : 965,110.40 = 194,127.20 : x
  2. Step 2: Convert to fraction form
    643,402.61/965,110.40 = 194,127.20/x
  3. Step 3: Cross multiply
    643,402.61x = 965,110.40 × 194,127.20
  4. Step 4: Simplify right side
    643,402.61x = 187,354,173,846.69
  5. Step 5: Solve for x
    x = 187,354,173,846.69/643,402.61
  6. Step 6: Final answer
    x = 291,192.75

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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.