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Finding the Fourth Proportional to 407,408.70, 611,285.85 and 196,938.30

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Solution

The fourth proportional to 407,408.70, 611,285.85 and 196,938.30 is: 295,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,408.70 : 611,285.85 = 196,938.30 : x
  2. Step 2: Convert to fraction form
    407,408.70/611,285.85 = 196,938.30/x
  3. Step 3: Cross multiply
    407,408.70x = 611,285.85 × 196,938.30
  4. Step 4: Simplify right side
    407,408.70x = 120,385,596,113.06
  5. Step 5: Solve for x
    x = 120,385,596,113.06/407,408.70
  6. Step 6: Final answer
    x = 295,490.98

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1.5x scale

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.