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Finding the Fourth Proportional to 313,298.40, 469,947.60 and 194,908.80

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Solution

The fourth proportional to 313,298.40, 469,947.60 and 194,908.80 is: 292,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,298.40 : 469,947.60 = 194,908.80 : x
  2. Step 2: Convert to fraction form
    313,298.40/469,947.60 = 194,908.80/x
  3. Step 3: Cross multiply
    313,298.40x = 469,947.60 × 194,908.80
  4. Step 4: Simplify right side
    313,298.40x = 91,596,922,778.88
  5. Step 5: Solve for x
    x = 91,596,922,778.88/313,298.40
  6. Step 6: Final answer
    x = 292,363.20

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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.