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Finding the Fourth Proportional to 298,415.85, 411,812.71 and 162,449.30

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Solution

The fourth proportional to 298,415.85, 411,812.71 and 162,449.30 is: 224,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,415.85 : 411,812.71 = 162,449.30 : x
  2. Step 2: Convert to fraction form
    298,415.85/411,812.71 = 162,449.30/x
  3. Step 3: Cross multiply
    298,415.85x = 411,812.71 × 162,449.30
  4. Step 4: Simplify right side
    298,415.85x = 66,898,684,777.57
  5. Step 5: Solve for x
    x = 66,898,684,777.57/298,415.85
  6. Step 6: Final answer
    x = 224,179.40

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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.