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Finding the Fourth Proportional to 384,022.40, 576,033.60 and 162,406.40

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Solution

The fourth proportional to 384,022.40, 576,033.60 and 162,406.40 is: 243,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,022.40 : 576,033.60 = 162,406.40 : x
  2. Step 2: Convert to fraction form
    384,022.40/576,033.60 = 162,406.40/x
  3. Step 3: Cross multiply
    384,022.40x = 576,033.60 × 162,406.40
  4. Step 4: Simplify right side
    384,022.40x = 93,551,543,255.04
  5. Step 5: Solve for x
    x = 93,551,543,255.04/384,022.40
  6. Step 6: Final answer
    x = 243,609.60

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1.5x scale

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.