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Finding the Fourth Proportional to 464,705.88, 697,092.14 and 194,562.18

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Solution

The fourth proportional to 464,705.88, 697,092.14 and 194,562.18 is: 291,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,705.88 : 697,092.14 = 194,562.18 : x
  2. Step 2: Convert to fraction form
    464,705.88/697,092.14 = 194,562.18/x
  3. Step 3: Cross multiply
    464,705.88x = 697,092.14 × 194,562.18
  4. Step 4: Simplify right side
    464,705.88x = 135,627,766,419.27
  5. Step 5: Solve for x
    x = 135,627,766,419.27/464,705.88
  6. Step 6: Final answer
    x = 291,857.22

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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.