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Finding the Fourth Proportional to 300,283.27, 414,389.79 and 162,461.75

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Solution

The fourth proportional to 300,283.27, 414,389.79 and 162,461.75 is: 224,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,283.27 : 414,389.79 = 162,461.75 : x
  2. Step 2: Convert to fraction form
    300,283.27/414,389.79 = 162,461.75/x
  3. Step 3: Cross multiply
    300,283.27x = 414,389.79 × 162,461.75
  4. Step 4: Simplify right side
    300,283.27x = 67,322,488,290.93
  5. Step 5: Solve for x
    x = 67,322,488,290.93/300,283.27
  6. Step 6: Final answer
    x = 224,196.60

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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.