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Finding the Fourth Proportional to 523,546.44, 785,359.45 and 203,560.83

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Solution

The fourth proportional to 523,546.44, 785,359.45 and 203,560.83 is: 305,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,546.44 : 785,359.45 = 203,560.83 : x
  2. Step 2: Convert to fraction form
    523,546.44/785,359.45 = 203,560.83/x
  3. Step 3: Cross multiply
    523,546.44x = 785,359.45 × 203,560.83
  4. Step 4: Simplify right side
    523,546.44x = 159,868,423,913.00
  5. Step 5: Solve for x
    x = 159,868,423,913.00/523,546.44
  6. Step 6: Final answer
    x = 305,356.72

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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.