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Finding the Fourth Proportional to 553,662.70, 830,494.05 and 543,165.10

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Solution

The fourth proportional to 553,662.70, 830,494.05 and 543,165.10 is: 814,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,662.70 : 830,494.05 = 543,165.10 : x
  2. Step 2: Convert to fraction form
    553,662.70/830,494.05 = 543,165.10/x
  3. Step 3: Cross multiply
    553,662.70x = 830,494.05 × 543,165.10
  4. Step 4: Simplify right side
    553,662.70x = 451,095,383,717.66
  5. Step 5: Solve for x
    x = 451,095,383,717.66/553,662.70
  6. Step 6: Final answer
    x = 814,747.65

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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.