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Finding the Fourth Proportional to 298,176.54, 411,348.08 and 177,249.15

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Solution

The fourth proportional to 298,176.54, 411,348.08 and 177,249.15 is: 244,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,176.54 : 411,348.08 = 177,249.15 : x
  2. Step 2: Convert to fraction form
    298,176.54/411,348.08 = 177,249.15/x
  3. Step 3: Cross multiply
    298,176.54x = 411,348.08 × 177,249.15
  4. Step 4: Simplify right side
    298,176.54x = 72,911,096,647.89
  5. Step 5: Solve for x
    x = 72,911,096,647.89/298,176.54
  6. Step 6: Final answer
    x = 244,523.25

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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.