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Finding the Fourth Proportional to 298,833.18, 412,379.24 and 162,864.43

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Solution

The fourth proportional to 298,833.18, 412,379.24 and 162,864.43 is: 224,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,833.18 : 412,379.24 = 162,864.43 : x
  2. Step 2: Convert to fraction form
    298,833.18/412,379.24 = 162,864.43/x
  3. Step 3: Cross multiply
    298,833.18x = 412,379.24 × 162,864.43
  4. Step 4: Simplify right side
    298,833.18x = 67,161,908,479.22
  5. Step 5: Solve for x
    x = 67,161,908,479.22/298,833.18
  6. Step 6: Final answer
    x = 224,747.16

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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.