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Finding the Fourth Proportional to 301,907.40, 416,635.44 and 164,086.32

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Solution

The fourth proportional to 301,907.40, 416,635.44 and 164,086.32 is: 226,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,907.40 : 416,635.44 = 164,086.32 : x
  2. Step 2: Convert to fraction form
    301,907.40/416,635.44 = 164,086.32/x
  3. Step 3: Cross multiply
    301,907.40x = 416,635.44 × 164,086.32
  4. Step 4: Simplify right side
    301,907.40x = 68,364,176,131.18
  5. Step 5: Solve for x
    x = 68,364,176,131.18/301,907.40
  6. Step 6: Final answer
    x = 226,440.88

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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.