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Finding the Fourth Proportional to 355,704.14, 533,516.91 and 89,464.76

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Solution

The fourth proportional to 355,704.14, 533,516.91 and 89,464.76 is: 134,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,704.14 : 533,516.91 = 89,464.76 : x
  2. Step 2: Convert to fraction form
    355,704.14/533,516.91 = 89,464.76/x
  3. Step 3: Cross multiply
    355,704.14x = 533,516.91 × 89,464.76
  4. Step 4: Simplify right side
    355,704.14x = 47,730,962,309.09
  5. Step 5: Solve for x
    x = 47,730,962,309.09/355,704.14
  6. Step 6: Final answer
    x = 134,187.26

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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.