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Finding the Fourth Proportional to 534,617, 737,771.46 and 296,153

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Solution

The fourth proportional to 534,617, 737,771.46 and 296,153 is: 408,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,617 : 737,771.46 = 296,153 : x
  2. Step 2: Convert to fraction form
    534,617/737,771.46 = 296,153/x
  3. Step 3: Cross multiply
    534,617x = 737,771.46 × 296,153
  4. Step 4: Simplify right side
    534,617x = 218,493,231,193.38
  5. Step 5: Solve for x
    x = 218,493,231,193.38/534,617
  6. Step 6: Final answer
    x = 408,691.14

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1.5x scale

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.