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Finding the Fourth Proportional to 359,756.36, 496,528.78 and 214,571.46

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Solution

The fourth proportional to 359,756.36, 496,528.78 and 214,571.46 is: 296,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,756.36 : 496,528.78 = 214,571.46 : x
  2. Step 2: Convert to fraction form
    359,756.36/496,528.78 = 214,571.46/x
  3. Step 3: Cross multiply
    359,756.36x = 496,528.78 × 214,571.46
  4. Step 4: Simplify right side
    359,756.36x = 106,540,905,256.62
  5. Step 5: Solve for x
    x = 106,540,905,256.62/359,756.36
  6. Step 6: Final answer
    x = 296,147.39

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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.