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Finding the Fourth Proportional to 300,496.64, 414,672.56 and 164,528.12

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Solution

The fourth proportional to 300,496.64, 414,672.56 and 164,528.12 is: 227,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496.64 : 414,672.56 = 164,528.12 : x
  2. Step 2: Convert to fraction form
    300,496.64/414,672.56 = 164,528.12/x
  3. Step 3: Cross multiply
    300,496.64x = 414,672.56 × 164,528.12
  4. Step 4: Simplify right side
    300,496.64x = 68,225,296,712.39
  5. Step 5: Solve for x
    x = 68,225,296,712.39/300,496.64
  6. Step 6: Final answer
    x = 227,041.80

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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.