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Finding the Fourth Proportional to 556,760.97, 835,131.20 and 177,678.70

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Solution

The fourth proportional to 556,760.97, 835,131.20 and 177,678.70 is: 266,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,760.97 : 835,131.20 = 177,678.70 : x
  2. Step 2: Convert to fraction form
    556,760.97/835,131.20 = 177,678.70/x
  3. Step 3: Cross multiply
    556,760.97x = 835,131.20 × 177,678.70
  4. Step 4: Simplify right side
    556,760.97x = 148,385,022,969.22
  5. Step 5: Solve for x
    x = 148,385,022,969.22/556,760.97
  6. Step 6: Final answer
    x = 266,514.77

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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.