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Finding the Fourth Proportional to 556,866.46, 835,314.05 and 177,786.82

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Solution

The fourth proportional to 556,866.46, 835,314.05 and 177,786.82 is: 266,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,866.46 : 835,314.05 = 177,786.82 : x
  2. Step 2: Convert to fraction form
    556,866.46/835,314.05 = 177,786.82/x
  3. Step 3: Cross multiply
    556,866.46x = 835,314.05 × 177,786.82
  4. Step 4: Simplify right side
    556,866.46x = 148,507,828,650.82
  5. Step 5: Solve for x
    x = 148,507,828,650.82/556,866.46
  6. Step 6: Final answer
    x = 266,684.81

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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.