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Finding the Fourth Proportional to 523,920.24, 785,914.92 and 191,729.52

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Solution

The fourth proportional to 523,920.24, 785,914.92 and 191,729.52 is: 287,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,920.24 : 785,914.92 = 191,729.52 : x
  2. Step 2: Convert to fraction form
    523,920.24/785,914.92 = 191,729.52/x
  3. Step 3: Cross multiply
    523,920.24x = 785,914.92 × 191,729.52
  4. Step 4: Simplify right side
    523,920.24x = 150,683,090,372.44
  5. Step 5: Solve for x
    x = 150,683,090,372.44/523,920.24
  6. Step 6: Final answer
    x = 287,606.93

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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.