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Finding the Fourth Proportional to 524,474.86, 723,754.27 and 295,036.69

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Solution

The fourth proportional to 524,474.86, 723,754.27 and 295,036.69 is: 407,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,474.86 : 723,754.27 = 295,036.69 : x
  2. Step 2: Convert to fraction form
    524,474.86/723,754.27 = 295,036.69/x
  3. Step 3: Cross multiply
    524,474.86x = 723,754.27 × 295,036.69
  4. Step 4: Simplify right side
    524,474.86x = 213,534,059,100.21
  5. Step 5: Solve for x
    x = 213,534,059,100.21/524,474.86
  6. Step 6: Final answer
    x = 407,138.79

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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.