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Finding the Fourth Proportional to 294,013.88, 405,967.70 and 225,923.52

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Solution

The fourth proportional to 294,013.88, 405,967.70 and 225,923.52 is: 311,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,013.88 : 405,967.70 = 225,923.52 : x
  2. Step 2: Convert to fraction form
    294,013.88/405,967.70 = 225,923.52/x
  3. Step 3: Cross multiply
    294,013.88x = 405,967.70 × 225,923.52
  4. Step 4: Simplify right side
    294,013.88x = 91,717,652,606.67
  5. Step 5: Solve for x
    x = 91,717,652,606.67/294,013.88
  6. Step 6: Final answer
    x = 311,950.08

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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.