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Finding the Fourth Proportional to 391,441, 540,188.76 and 212,593

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Solution

The fourth proportional to 391,441, 540,188.76 and 212,593 is: 293,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,441 : 540,188.76 = 212,593 : x
  2. Step 2: Convert to fraction form
    391,441/540,188.76 = 212,593/x
  3. Step 3: Cross multiply
    391,441x = 540,188.76 × 212,593
  4. Step 4: Simplify right side
    391,441x = 114,840,349,054.68
  5. Step 5: Solve for x
    x = 114,840,349,054.68/391,441
  6. Step 6: Final answer
    x = 293,378.44

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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.