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Finding the Fourth Proportional to 374,021.30, 561,384.30 and 196,655.60

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Solution

The fourth proportional to 374,021.30, 561,384.30 and 196,655.60 is: 295,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,021.30 : 561,384.30 = 196,655.60 : x
  2. Step 2: Convert to fraction form
    374,021.30/561,384.30 = 196,655.60/x
  3. Step 3: Cross multiply
    374,021.30x = 561,384.30 × 196,655.60
  4. Step 4: Simplify right side
    374,021.30x = 110,399,366,347.08
  5. Step 5: Solve for x
    x = 110,399,366,347.08/374,021.30
  6. Step 6: Final answer
    x = 295,168.66

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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.