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Finding the Fourth Proportional to 670,381.70, 1,005,596.85 and 197,114.90

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Solution

The fourth proportional to 670,381.70, 1,005,596.85 and 197,114.90 is: 295,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,381.70 : 1,005,596.85 = 197,114.90 : x
  2. Step 2: Convert to fraction form
    670,381.70/1,005,596.85 = 197,114.90/x
  3. Step 3: Cross multiply
    670,381.70x = 1,005,596.85 × 197,114.90
  4. Step 4: Simplify right side
    670,381.70x = 198,218,122,528.07
  5. Step 5: Solve for x
    x = 198,218,122,528.07/670,381.70
  6. Step 6: Final answer
    x = 295,679.50

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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.