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Finding the Fourth Proportional to 298,609.04, 412,084.96 and 162,649.28

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Solution

The fourth proportional to 298,609.04, 412,084.96 and 162,649.28 is: 224,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,609.04 : 412,084.96 = 162,649.28 : x
  2. Step 2: Convert to fraction form
    298,609.04/412,084.96 = 162,649.28/x
  3. Step 3: Cross multiply
    298,609.04x = 412,084.96 × 162,649.28
  4. Step 4: Simplify right side
    298,609.04x = 67,025,322,042.83
  5. Step 5: Solve for x
    x = 67,025,322,042.83/298,609.04
  6. Step 6: Final answer
    x = 224,458.45

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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.