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Finding the Fourth Proportional to 324,415.72, 447,706.48 and 186,594.42

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Solution

The fourth proportional to 324,415.72, 447,706.48 and 186,594.42 is: 257,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,415.72 : 447,706.48 = 186,594.42 : x
  2. Step 2: Convert to fraction form
    324,415.72/447,706.48 = 186,594.42/x
  3. Step 3: Cross multiply
    324,415.72x = 447,706.48 × 186,594.42
  4. Step 4: Simplify right side
    324,415.72x = 83,539,530,965.84
  5. Step 5: Solve for x
    x = 83,539,530,965.84/324,415.72
  6. Step 6: Final answer
    x = 257,507.65

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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.