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Finding the Fourth Proportional to 437,002.14, 655,503.21 and 156,716.22

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Solution

The fourth proportional to 437,002.14, 655,503.21 and 156,716.22 is: 235,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,002.14 : 655,503.21 = 156,716.22 : x
  2. Step 2: Convert to fraction form
    437,002.14/655,503.21 = 156,716.22/x
  3. Step 3: Cross multiply
    437,002.14x = 655,503.21 × 156,716.22
  4. Step 4: Simplify right side
    437,002.14x = 102,727,985,269.07
  5. Step 5: Solve for x
    x = 102,727,985,269.07/437,002.14
  6. Step 6: Final answer
    x = 235,074.33

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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.