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Finding the Fourth Proportional to 341,694.59, 512,590.88 and 105,057.14

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Solution

The fourth proportional to 341,694.59, 512,590.88 and 105,057.14 is: 157,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,694.59 : 512,590.88 = 105,057.14 : x
  2. Step 2: Convert to fraction form
    341,694.59/512,590.88 = 105,057.14/x
  3. Step 3: Cross multiply
    341,694.59x = 512,590.88 × 105,057.14
  4. Step 4: Simplify right side
    341,694.59x = 53,851,329,542.57
  5. Step 5: Solve for x
    x = 53,851,329,542.57/341,694.59
  6. Step 6: Final answer
    x = 157,600.77

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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.