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Finding the Fourth Proportional to 534,606, 737,756.28 and 296,142

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Solution

The fourth proportional to 534,606, 737,756.28 and 296,142 is: 408,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,606 : 737,756.28 = 296,142 : x
  2. Step 2: Convert to fraction form
    534,606/737,756.28 = 296,142/x
  3. Step 3: Cross multiply
    534,606x = 737,756.28 × 296,142
  4. Step 4: Simplify right side
    534,606x = 218,480,620,271.76
  5. Step 5: Solve for x
    x = 218,480,620,271.76/534,606
  6. Step 6: Final answer
    x = 408,675.96

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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.