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Finding the Fourth Proportional to 523,773.14, 722,753.06 and 294,293.96

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Solution

The fourth proportional to 523,773.14, 722,753.06 and 294,293.96 is: 406,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,773.14 : 722,753.06 = 294,293.96 : x
  2. Step 2: Convert to fraction form
    523,773.14/722,753.06 = 294,293.96/x
  3. Step 3: Cross multiply
    523,773.14x = 722,753.06 × 294,293.96
  4. Step 4: Simplify right side
    523,773.14x = 212,701,857,251.49
  5. Step 5: Solve for x
    x = 212,701,857,251.49/523,773.14
  6. Step 6: Final answer
    x = 406,095.39

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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.