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Finding the Fourth Proportional to 300,497.58, 414,686.76 and 164,540.14

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Solution

The fourth proportional to 300,497.58, 414,686.76 and 164,540.14 is: 227,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,497.58 : 414,686.76 = 164,540.14 : x
  2. Step 2: Convert to fraction form
    300,497.58/414,686.76 = 164,540.14/x
  3. Step 3: Cross multiply
    300,497.58x = 414,686.76 × 164,540.14
  4. Step 4: Simplify right side
    300,497.58x = 68,232,618,572.49
  5. Step 5: Solve for x
    x = 68,232,618,572.49/300,497.58
  6. Step 6: Final answer
    x = 227,065.45

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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.