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Finding the Fourth Proportional to 574,857.19, 862,419.34 and 195,781.22

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Solution

The fourth proportional to 574,857.19, 862,419.34 and 195,781.22 is: 293,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,857.19 : 862,419.34 = 195,781.22 : x
  2. Step 2: Convert to fraction form
    574,857.19/862,419.34 = 195,781.22/x
  3. Step 3: Cross multiply
    574,857.19x = 862,419.34 × 195,781.22
  4. Step 4: Simplify right side
    574,857.19x = 168,845,506,224.70
  5. Step 5: Solve for x
    x = 168,845,506,224.70/574,857.19
  6. Step 6: Final answer
    x = 293,717.31

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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.