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Finding the Fourth Proportional to 524,059.82, 723,129.62 and 294,584.66

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Solution

The fourth proportional to 524,059.82, 723,129.62 and 294,584.66 is: 406,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,059.82 : 723,129.62 = 294,584.66 : x
  2. Step 2: Convert to fraction form
    524,059.82/723,129.62 = 294,584.66/x
  3. Step 3: Cross multiply
    524,059.82x = 723,129.62 × 294,584.66
  4. Step 4: Simplify right side
    524,059.82x = 213,022,893,243.63
  5. Step 5: Solve for x
    x = 213,022,893,243.63/524,059.82
  6. Step 6: Final answer
    x = 406,485.83

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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.