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Finding the Fourth Proportional to 534,616, 737,770.08 and 296,152

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Solution

The fourth proportional to 534,616, 737,770.08 and 296,152 is: 408,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,616 : 737,770.08 = 296,152 : x
  2. Step 2: Convert to fraction form
    534,616/737,770.08 = 296,152/x
  3. Step 3: Cross multiply
    534,616x = 737,770.08 × 296,152
  4. Step 4: Simplify right side
    534,616x = 218,492,084,732.16
  5. Step 5: Solve for x
    x = 218,492,084,732.16/534,616
  6. Step 6: Final answer
    x = 408,689.76

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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.