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Finding the Fourth Proportional to 298,158.46, 411,458.36 and 162,192.08

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Solution

The fourth proportional to 298,158.46, 411,458.36 and 162,192.08 is: 223,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,158.46 : 411,458.36 = 162,192.08 : x
  2. Step 2: Convert to fraction form
    298,158.46/411,458.36 = 162,192.08/x
  3. Step 3: Cross multiply
    298,158.46x = 411,458.36 × 162,192.08
  4. Step 4: Simplify right side
    298,158.46x = 66,735,284,373.54
  5. Step 5: Solve for x
    x = 66,735,284,373.54/298,158.46
  6. Step 6: Final answer
    x = 223,824.89

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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.