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Finding the Fourth Proportional to 437,882.83, 656,428.96 and 157,334.47

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Solution

The fourth proportional to 437,882.83, 656,428.96 and 157,334.47 is: 235,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,882.83 : 656,428.96 = 157,334.47 : x
  2. Step 2: Convert to fraction form
    437,882.83/656,428.96 = 157,334.47/x
  3. Step 3: Cross multiply
    437,882.83x = 656,428.96 × 157,334.47
  4. Step 4: Simplify right side
    437,882.83x = 103,278,901,069.85
  5. Step 5: Solve for x
    x = 103,278,901,069.85/437,882.83
  6. Step 6: Final answer
    x = 235,859.67

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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.