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Finding the Fourth Proportional to 522,043, 783,064.50 and 226,555

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Solution

The fourth proportional to 522,043, 783,064.50 and 226,555 is: 339,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,043 : 783,064.50 = 226,555 : x
  2. Step 2: Convert to fraction form
    522,043/783,064.50 = 226,555/x
  3. Step 3: Cross multiply
    522,043x = 783,064.50 × 226,555
  4. Step 4: Simplify right side
    522,043x = 177,407,177,797.50
  5. Step 5: Solve for x
    x = 177,407,177,797.50/522,043
  6. Step 6: Final answer
    x = 339,832.50

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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.