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Finding the Fourth Proportional to 300,308.09, 414,425.16 and 164,342.03

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Solution

The fourth proportional to 300,308.09, 414,425.16 and 164,342.03 is: 226,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,308.09 : 414,425.16 = 164,342.03 : x
  2. Step 2: Convert to fraction form
    300,308.09/414,425.16 = 164,342.03/x
  3. Step 3: Cross multiply
    300,308.09x = 414,425.16 × 164,342.03
  4. Step 4: Simplify right side
    300,308.09x = 68,107,470,005.35
  5. Step 5: Solve for x
    x = 68,107,470,005.35/300,308.09
  6. Step 6: Final answer
    x = 226,792.00

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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.