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Finding the Fourth Proportional to 298,498.60, 447,466.38 and 148,597

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Solution

The fourth proportional to 298,498.60, 447,466.38 and 148,597 is: 222,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,498.60 : 447,466.38 = 148,597 : x
  2. Step 2: Convert to fraction form
    298,498.60/447,466.38 = 148,597/x
  3. Step 3: Cross multiply
    298,498.60x = 447,466.38 × 148,597
  4. Step 4: Simplify right side
    298,498.60x = 66,492,161,668.86
  5. Step 5: Solve for x
    x = 66,492,161,668.86/298,498.60
  6. Step 6: Final answer
    x = 222,755.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.