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Finding the Fourth Proportional to 300,683.08, 414,943.12 and 164,714.04

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Solution

The fourth proportional to 300,683.08, 414,943.12 and 164,714.04 is: 227,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,683.08 : 414,943.12 = 164,714.04 : x
  2. Step 2: Convert to fraction form
    300,683.08/414,943.12 = 164,714.04/x
  3. Step 3: Cross multiply
    300,683.08x = 414,943.12 × 164,714.04
  4. Step 4: Simplify right side
    300,683.08x = 68,346,957,665.40
  5. Step 5: Solve for x
    x = 68,346,957,665.40/300,683.08
  6. Step 6: Final answer
    x = 227,305.63

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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.