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Finding the Fourth Proportional to 451,317.92, 676,977.60 and 114,358.64

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Solution

The fourth proportional to 451,317.92, 676,977.60 and 114,358.64 is: 171,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,317.92 : 676,977.60 = 114,358.64 : x
  2. Step 2: Convert to fraction form
    451,317.92/676,977.60 = 114,358.64/x
  3. Step 3: Cross multiply
    451,317.92x = 676,977.60 × 114,358.64
  4. Step 4: Simplify right side
    451,317.92x = 77,418,237,646.46
  5. Step 5: Solve for x
    x = 77,418,237,646.46/451,317.92
  6. Step 6: Final answer
    x = 171,538.14

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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.