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Finding the Fourth Proportional to 414,955.28, 622,487.46 and 148,746.08

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Solution

The fourth proportional to 414,955.28, 622,487.46 and 148,746.08 is: 223,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,955.28 : 622,487.46 = 148,746.08 : x
  2. Step 2: Convert to fraction form
    414,955.28/622,487.46 = 148,746.08/x
  3. Step 3: Cross multiply
    414,955.28x = 622,487.46 × 148,746.08
  4. Step 4: Simplify right side
    414,955.28x = 92,592,569,524.16
  5. Step 5: Solve for x
    x = 92,592,569,524.16/414,955.28
  6. Step 6: Final answer
    x = 223,138.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.