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Finding the Fourth Proportional to 300,466.86, 414,649.18 and 164,498.54

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Solution

The fourth proportional to 300,466.86, 414,649.18 and 164,498.54 is: 227,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,466.86 : 414,649.18 = 164,498.54 : x
  2. Step 2: Convert to fraction form
    300,466.86/414,649.18 = 164,498.54/x
  3. Step 3: Cross multiply
    300,466.86x = 414,649.18 × 164,498.54
  4. Step 4: Simplify right side
    300,466.86x = 68,209,184,722.20
  5. Step 5: Solve for x
    x = 68,209,184,722.20/300,466.86
  6. Step 6: Final answer
    x = 227,010.68

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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.