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Finding the Fourth Proportional to 523,609.57, 722,584.10 and 294,176.53

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Solution

The fourth proportional to 523,609.57, 722,584.10 and 294,176.53 is: 405,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,609.57 : 722,584.10 = 294,176.53 : x
  2. Step 2: Convert to fraction form
    523,609.57/722,584.10 = 294,176.53/x
  3. Step 3: Cross multiply
    523,609.57x = 722,584.10 × 294,176.53
  4. Step 4: Simplify right side
    523,609.57x = 212,567,278,822.81
  5. Step 5: Solve for x
    x = 212,567,278,822.81/523,609.57
  6. Step 6: Final answer
    x = 405,965.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.