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Finding the Fourth Proportional to 534,612, 737,764.56 and 296,148

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Solution

The fourth proportional to 534,612, 737,764.56 and 296,148 is: 408,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,612 : 737,764.56 = 296,148 : x
  2. Step 2: Convert to fraction form
    534,612/737,764.56 = 296,148/x
  3. Step 3: Cross multiply
    534,612x = 737,764.56 × 296,148
  4. Step 4: Simplify right side
    534,612x = 218,487,498,914.88
  5. Step 5: Solve for x
    x = 218,487,498,914.88/534,612
  6. Step 6: Final answer
    x = 408,684.24

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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.