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Finding the Fourth Proportional to 374,810.82, 561,691.34 and 197,051.46

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Solution

The fourth proportional to 374,810.82, 561,691.34 and 197,051.46 is: 295,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,810.82 : 561,691.34 = 197,051.46 : x
  2. Step 2: Convert to fraction form
    374,810.82/561,691.34 = 197,051.46/x
  3. Step 3: Cross multiply
    374,810.82x = 561,691.34 × 197,051.46
  4. Step 4: Simplify right side
    374,810.82x = 110,682,098,616.36
  5. Step 5: Solve for x
    x = 110,682,098,616.36/374,810.82
  6. Step 6: Final answer
    x = 295,301.24

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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.