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Finding the Fourth Proportional to 382,086.70, 535,708.70 and 382,086.70

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Solution

The fourth proportional to 382,086.70, 535,708.70 and 382,086.70 is: 535,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,086.70 : 535,708.70 = 382,086.70 : x
  2. Step 2: Convert to fraction form
    382,086.70/535,708.70 = 382,086.70/x
  3. Step 3: Cross multiply
    382,086.70x = 535,708.70 × 382,086.70
  4. Step 4: Simplify right side
    382,086.70x = 204,687,169,344.29
  5. Step 5: Solve for x
    x = 204,687,169,344.29/382,086.70
  6. Step 6: Final answer
    x = 535,708.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.