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Finding the Fourth Proportional to 298,626.13, 412,104.08 and 164,490.13

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Solution

The fourth proportional to 298,626.13, 412,104.08 and 164,490.13 is: 226,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,626.13 : 412,104.08 = 164,490.13 : x
  2. Step 2: Convert to fraction form
    298,626.13/412,104.08 = 164,490.13/x
  3. Step 3: Cross multiply
    298,626.13x = 412,104.08 × 164,490.13
  4. Step 4: Simplify right side
    298,626.13x = 67,787,050,809.76
  5. Step 5: Solve for x
    x = 67,787,050,809.76/298,626.13
  6. Step 6: Final answer
    x = 226,996.38

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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.