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Finding the Fourth Proportional to 305,923.64, 458,367.26 and 187,347.23

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Solution

The fourth proportional to 305,923.64, 458,367.26 and 187,347.23 is: 280,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,923.64 : 458,367.26 = 187,347.23 : x
  2. Step 2: Convert to fraction form
    305,923.64/458,367.26 = 187,347.23/x
  3. Step 3: Cross multiply
    305,923.64x = 458,367.26 × 187,347.23
  4. Step 4: Simplify right side
    305,923.64x = 85,873,834,973.99
  5. Step 5: Solve for x
    x = 85,873,834,973.99/305,923.64
  6. Step 6: Final answer
    x = 280,703.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.