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Finding the Fourth Proportional to 6,474,617.60, 9,711,926.40 and 2,214,406.40

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Solution

The fourth proportional to 6,474,617.60, 9,711,926.40 and 2,214,406.40 is: 3,321,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,617.60 : 9,711,926.40 = 2,214,406.40 : x
  2. Step 2: Convert to fraction form
    6,474,617.60/9,711,926.40 = 2,214,406.40/x
  3. Step 3: Cross multiply
    6,474,617.60x = 9,711,926.40 × 2,214,406.40
  4. Step 4: Simplify right side
    6,474,617.60x = 21,506,151,976,488.96
  5. Step 5: Solve for x
    x = 21,506,151,976,488.96/6,474,617.60
  6. Step 6: Final answer
    x = 3,321,609.60

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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.