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Finding the Fourth Proportional to 298,176.22, 411,478.87 and 162,211.34

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Solution

The fourth proportional to 298,176.22, 411,478.87 and 162,211.34 is: 223,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,176.22 : 411,478.87 = 162,211.34 : x
  2. Step 2: Convert to fraction form
    298,176.22/411,478.87 = 162,211.34/x
  3. Step 3: Cross multiply
    298,176.22x = 411,478.87 × 162,211.34
  4. Step 4: Simplify right side
    298,176.22x = 66,746,536,015.93
  5. Step 5: Solve for x
    x = 66,746,536,015.93/298,176.22
  6. Step 6: Final answer
    x = 223,849.30

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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.