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Finding the Fourth Proportional to 298,810.32, 412,358.24 and 164,674.32

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Solution

The fourth proportional to 298,810.32, 412,358.24 and 164,674.32 is: 227,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,810.32 : 412,358.24 = 164,674.32 : x
  2. Step 2: Convert to fraction form
    298,810.32/412,358.24 = 164,674.32/x
  3. Step 3: Cross multiply
    298,810.32x = 412,358.24 × 164,674.32
  4. Step 4: Simplify right side
    298,810.32x = 67,904,812,768.40
  5. Step 5: Solve for x
    x = 67,904,812,768.40/298,810.32
  6. Step 6: Final answer
    x = 227,250.56

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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.