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Finding the Fourth Proportional to 6,474,608.80, 9,711,913.20 and 3,107,082.40

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Solution

The fourth proportional to 6,474,608.80, 9,711,913.20 and 3,107,082.40 is: 4,660,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,608.80 : 9,711,913.20 = 3,107,082.40 : x
  2. Step 2: Convert to fraction form
    6,474,608.80/9,711,913.20 = 3,107,082.40/x
  3. Step 3: Cross multiply
    6,474,608.80x = 9,711,913.20 × 3,107,082.40
  4. Step 4: Simplify right side
    6,474,608.80x = 30,175,714,574,047.68
  5. Step 5: Solve for x
    x = 30,175,714,574,047.68/6,474,608.80
  6. Step 6: Final answer
    x = 4,660,623.60

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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.