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Finding the Fourth Proportional to 300,285.04, 414,375.45 and 164,291.89

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Solution

The fourth proportional to 300,285.04, 414,375.45 and 164,291.89 is: 226,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,285.04 : 414,375.45 = 164,291.89 : x
  2. Step 2: Convert to fraction form
    300,285.04/414,375.45 = 164,291.89/x
  3. Step 3: Cross multiply
    300,285.04x = 414,375.45 × 164,291.89
  4. Step 4: Simplify right side
    300,285.04x = 68,078,525,850.10
  5. Step 5: Solve for x
    x = 68,078,525,850.10/300,285.04
  6. Step 6: Final answer
    x = 226,713.01

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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.