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Finding the Fourth Proportional to 303,438.82, 455,216.95 and 116,435.78

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Solution

The fourth proportional to 303,438.82, 455,216.95 and 116,435.78 is: 174,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,438.82 : 455,216.95 = 116,435.78 : x
  2. Step 2: Convert to fraction form
    303,438.82/455,216.95 = 116,435.78/x
  3. Step 3: Cross multiply
    303,438.82x = 455,216.95 × 116,435.78
  4. Step 4: Simplify right side
    303,438.82x = 53,003,540,642.47
  5. Step 5: Solve for x
    x = 53,003,540,642.47/303,438.82
  6. Step 6: Final answer
    x = 174,676.20

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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.