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Finding the Fourth Proportional to 300,527.20, 414,728.40 and 164,562.40

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Solution

The fourth proportional to 300,527.20, 414,728.40 and 164,562.40 is: 227,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,527.20 : 414,728.40 = 164,562.40 : x
  2. Step 2: Convert to fraction form
    300,527.20/414,728.40 = 164,562.40/x
  3. Step 3: Cross multiply
    300,527.20x = 414,728.40 × 164,562.40
  4. Step 4: Simplify right side
    300,527.20x = 68,248,700,852.16
  5. Step 5: Solve for x
    x = 68,248,700,852.16/300,527.20
  6. Step 6: Final answer
    x = 227,096.59

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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.