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Finding the Fourth Proportional to 407,114.40, 610,498.80 and 196,816.80

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Solution

The fourth proportional to 407,114.40, 610,498.80 and 196,816.80 is: 295,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.40 : 610,498.80 = 196,816.80 : x
  2. Step 2: Convert to fraction form
    407,114.40/610,498.80 = 196,816.80/x
  3. Step 3: Cross multiply
    407,114.40x = 610,498.80 × 196,816.80
  4. Step 4: Simplify right side
    407,114.40x = 120,156,420,219.84
  5. Step 5: Solve for x
    x = 120,156,420,219.84/407,114.40
  6. Step 6: Final answer
    x = 295,141.66

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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.