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Finding the Fourth Proportional to 300,900.76, 415,234.14 and 164,931.80

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Solution

The fourth proportional to 300,900.76, 415,234.14 and 164,931.80 is: 227,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,900.76 : 415,234.14 = 164,931.80 : x
  2. Step 2: Convert to fraction form
    300,900.76/415,234.14 = 164,931.80/x
  3. Step 3: Cross multiply
    300,900.76x = 415,234.14 × 164,931.80
  4. Step 4: Simplify right side
    300,900.76x = 68,485,314,131.65
  5. Step 5: Solve for x
    x = 68,485,314,131.65/300,900.76
  6. Step 6: Final answer
    x = 227,601.00

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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.