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Finding the Fourth Proportional to 298,569.15, 412,059.47 and 177,710.85

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Solution

The fourth proportional to 298,569.15, 412,059.47 and 177,710.85 is: 245,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,569.15 : 412,059.47 = 177,710.85 : x
  2. Step 2: Convert to fraction form
    298,569.15/412,059.47 = 177,710.85/x
  3. Step 3: Cross multiply
    298,569.15x = 412,059.47 × 177,710.85
  4. Step 4: Simplify right side
    298,569.15x = 73,227,437,775.70
  5. Step 5: Solve for x
    x = 73,227,437,775.70/298,569.15
  6. Step 6: Final answer
    x = 245,261.23

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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.