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Finding the Fourth Proportional to 299,050.80, 412,699.32 and 171,751.92

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Solution

The fourth proportional to 299,050.80, 412,699.32 and 171,751.92 is: 237,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,050.80 : 412,699.32 = 171,751.92 : x
  2. Step 2: Convert to fraction form
    299,050.80/412,699.32 = 171,751.92/x
  3. Step 3: Cross multiply
    299,050.80x = 412,699.32 × 171,751.92
  4. Step 4: Simplify right side
    299,050.80x = 70,881,900,592.69
  5. Step 5: Solve for x
    x = 70,881,900,592.69/299,050.80
  6. Step 6: Final answer
    x = 237,022.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.