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Finding the Fourth Proportional to 261,356.40, 391,451.40 and 214,700.40

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Solution

The fourth proportional to 261,356.40, 391,451.40 and 214,700.40 is: 321,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,356.40 : 391,451.40 = 214,700.40 : x
  2. Step 2: Convert to fraction form
    261,356.40/391,451.40 = 214,700.40/x
  3. Step 3: Cross multiply
    261,356.40x = 391,451.40 × 214,700.40
  4. Step 4: Simplify right side
    261,356.40x = 84,044,772,160.56
  5. Step 5: Solve for x
    x = 84,044,772,160.56/261,356.40
  6. Step 6: Final answer
    x = 321,571.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.