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Finding the Fourth Proportional to 298,665.92, 412,158.80 and 164,529.92

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Solution

The fourth proportional to 298,665.92, 412,158.80 and 164,529.92 is: 227,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,665.92 : 412,158.80 = 164,529.92 : x
  2. Step 2: Convert to fraction form
    298,665.92/412,158.80 = 164,529.92/x
  3. Step 3: Cross multiply
    298,665.92x = 412,158.80 × 164,529.92
  4. Step 4: Simplify right side
    298,665.92x = 67,812,453,568.65
  5. Step 5: Solve for x
    x = 67,812,453,568.65/298,665.92
  6. Step 6: Final answer
    x = 227,051.19

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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.