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Finding the Fourth Proportional to 300,718.32, 414,973.44 and 164,725.08

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Solution

The fourth proportional to 300,718.32, 414,973.44 and 164,725.08 is: 227,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,718.32 : 414,973.44 = 164,725.08 : x
  2. Step 2: Convert to fraction form
    300,718.32/414,973.44 = 164,725.08/x
  3. Step 3: Cross multiply
    300,718.32x = 414,973.44 × 164,725.08
  4. Step 4: Simplify right side
    300,718.32x = 68,356,533,101.88
  5. Step 5: Solve for x
    x = 68,356,533,101.88/300,718.32
  6. Step 6: Final answer
    x = 227,310.84

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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.