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Finding the Fourth Proportional to 354,467.14, 531,697.97 and 88,225.86

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Solution

The fourth proportional to 354,467.14, 531,697.97 and 88,225.86 is: 132,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,467.14 : 531,697.97 = 88,225.86 : x
  2. Step 2: Convert to fraction form
    354,467.14/531,697.97 = 88,225.86/x
  3. Step 3: Cross multiply
    354,467.14x = 531,697.97 × 88,225.86
  4. Step 4: Simplify right side
    354,467.14x = 46,909,510,663.50
  5. Step 5: Solve for x
    x = 46,909,510,663.50/354,467.14
  6. Step 6: Final answer
    x = 132,338.11

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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.