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Finding the Fourth Proportional to 298,562.76, 412,050.65 and 177,704.43

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Solution

The fourth proportional to 298,562.76, 412,050.65 and 177,704.43 is: 245,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,562.76 : 412,050.65 = 177,704.43 : x
  2. Step 2: Convert to fraction form
    298,562.76/412,050.65 = 177,704.43/x
  3. Step 3: Cross multiply
    298,562.76x = 412,050.65 × 177,704.43
  4. Step 4: Simplify right side
    298,562.76x = 73,223,225,000.86
  5. Step 5: Solve for x
    x = 73,223,225,000.86/298,562.76
  6. Step 6: Final answer
    x = 245,252.37

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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.