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Finding the Fourth Proportional to 300,656.38, 414,889.74 and 164,683.30

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Solution

The fourth proportional to 300,656.38, 414,889.74 and 164,683.30 is: 227,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,656.38 : 414,889.74 = 164,683.30 : x
  2. Step 2: Convert to fraction form
    300,656.38/414,889.74 = 164,683.30/x
  3. Step 3: Cross multiply
    300,656.38x = 414,889.74 × 164,683.30
  4. Step 4: Simplify right side
    300,656.38x = 68,325,411,519.34
  5. Step 5: Solve for x
    x = 68,325,411,519.34/300,656.38
  6. Step 6: Final answer
    x = 227,254.15

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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.