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Finding the Fourth Proportional to 8,197,834.40, 12,304,187.40 and 4,157,133.20

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Solution

The fourth proportional to 8,197,834.40, 12,304,187.40 and 4,157,133.20 is: 6,239,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,834.40 : 12,304,187.40 = 4,157,133.20 : x
  2. Step 2: Convert to fraction form
    8,197,834.40/12,304,187.40 = 4,157,133.20/x
  3. Step 3: Cross multiply
    8,197,834.40x = 12,304,187.40 × 4,157,133.20
  4. Step 4: Simplify right side
    8,197,834.40x = 51,150,145,939,561.69
  5. Step 5: Solve for x
    x = 51,150,145,939,561.69/8,197,834.40
  6. Step 6: Final answer
    x = 6,239,470.50

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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.