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Finding the Fourth Proportional to 300,459.54, 414,634.26 and 164,502.12

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Solution

The fourth proportional to 300,459.54, 414,634.26 and 164,502.12 is: 227,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,459.54 : 414,634.26 = 164,502.12 : x
  2. Step 2: Convert to fraction form
    300,459.54/414,634.26 = 164,502.12/x
  3. Step 3: Cross multiply
    300,459.54x = 414,634.26 × 164,502.12
  4. Step 4: Simplify right side
    300,459.54x = 68,208,216,966.39
  5. Step 5: Solve for x
    x = 68,208,216,966.39/300,459.54
  6. Step 6: Final answer
    x = 227,012.98

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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.