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Finding the Fourth Proportional to 509,744.72, 703,367.88 and 294,867.92

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Solution

The fourth proportional to 509,744.72, 703,367.88 and 294,867.92 is: 406,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,744.72 : 703,367.88 = 294,867.92 : x
  2. Step 2: Convert to fraction form
    509,744.72/703,367.88 = 294,867.92/x
  3. Step 3: Cross multiply
    509,744.72x = 703,367.88 × 294,867.92
  4. Step 4: Simplify right side
    509,744.72x = 207,400,623,770.41
  5. Step 5: Solve for x
    x = 207,400,623,770.41/509,744.72
  6. Step 6: Final answer
    x = 406,871.55

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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.