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Finding the Fourth Proportional to 534,735, 737,934.30 and 296,271

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Solution

The fourth proportional to 534,735, 737,934.30 and 296,271 is: 408,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,735 : 737,934.30 = 296,271 : x
  2. Step 2: Convert to fraction form
    534,735/737,934.30 = 296,271/x
  3. Step 3: Cross multiply
    534,735x = 737,934.30 × 296,271
  4. Step 4: Simplify right side
    534,735x = 218,628,532,995.30
  5. Step 5: Solve for x
    x = 218,628,532,995.30/534,735
  6. Step 6: Final answer
    x = 408,853.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.