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Finding the Fourth Proportional to 298,496.33, 411,922.90 and 162,530.21

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Solution

The fourth proportional to 298,496.33, 411,922.90 and 162,530.21 is: 224,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,496.33 : 411,922.90 = 162,530.21 : x
  2. Step 2: Convert to fraction form
    298,496.33/411,922.90 = 162,530.21/x
  3. Step 3: Cross multiply
    298,496.33x = 411,922.90 × 162,530.21
  4. Step 4: Simplify right side
    298,496.33x = 66,949,915,440.81
  5. Step 5: Solve for x
    x = 66,949,915,440.81/298,496.33
  6. Step 6: Final answer
    x = 224,290.58

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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.