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Finding the Fourth Proportional to 298,804.67, 412,350.51 and 162,838.65

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Solution

The fourth proportional to 298,804.67, 412,350.51 and 162,838.65 is: 224,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804.67 : 412,350.51 = 162,838.65 : x
  2. Step 2: Convert to fraction form
    298,804.67/412,350.51 = 162,838.65/x
  3. Step 3: Cross multiply
    298,804.67x = 412,350.51 × 162,838.65
  4. Step 4: Simplify right side
    298,804.67x = 67,146,600,375.21
  5. Step 5: Solve for x
    x = 67,146,600,375.21/298,804.67
  6. Step 6: Final answer
    x = 224,717.37

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1.5x scale

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.