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Finding the Fourth Proportional to 523,771.64, 722,751 and 294,292.46

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Solution

The fourth proportional to 523,771.64, 722,751 and 294,292.46 is: 406,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771.64 : 722,751 = 294,292.46 : x
  2. Step 2: Convert to fraction form
    523,771.64/722,751 = 294,292.46/x
  3. Step 3: Cross multiply
    523,771.64x = 722,751 × 294,292.46
  4. Step 4: Simplify right side
    523,771.64x = 212,700,166,143.71
  5. Step 5: Solve for x
    x = 212,700,166,143.71/523,771.64
  6. Step 6: Final answer
    x = 406,093.33

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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.