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Finding the Fourth Proportional to 5,905,138.98, 8,857,708.59 and 1,417,414.98

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Solution

The fourth proportional to 5,905,138.98, 8,857,708.59 and 1,417,414.98 is: 2,126,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905,138.98 : 8,857,708.59 = 1,417,414.98 : x
  2. Step 2: Convert to fraction form
    5,905,138.98/8,857,708.59 = 1,417,414.98/x
  3. Step 3: Cross multiply
    5,905,138.98x = 8,857,708.59 × 1,417,414.98
  4. Step 4: Simplify right side
    5,905,138.98x = 12,555,048,836,853.60
  5. Step 5: Solve for x
    x = 12,555,048,836,853.60/5,905,138.98
  6. Step 6: Final answer
    x = 2,126,122.50

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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.