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Finding the Fourth Proportional to 341,757.93, 512,346.09 and 208,731.51

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Solution

The fourth proportional to 341,757.93, 512,346.09 and 208,731.51 is: 312,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,757.93 : 512,346.09 = 208,731.51 : x
  2. Step 2: Convert to fraction form
    341,757.93/512,346.09 = 208,731.51/x
  3. Step 3: Cross multiply
    341,757.93x = 512,346.09 × 208,731.51
  4. Step 4: Simplify right side
    341,757.93x = 106,942,773,008.30
  5. Step 5: Solve for x
    x = 106,942,773,008.30/341,757.93
  6. Step 6: Final answer
    x = 312,919.65

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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.