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Finding the Fourth Proportional to 298,270.64, 411,613.53 and 164,134.64

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Solution

The fourth proportional to 298,270.64, 411,613.53 and 164,134.64 is: 226,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.64 : 411,613.53 = 164,134.64 : x
  2. Step 2: Convert to fraction form
    298,270.64/411,613.53 = 164,134.64/x
  3. Step 3: Cross multiply
    298,270.64x = 411,613.53 × 164,134.64
  4. Step 4: Simplify right side
    298,270.64x = 67,560,038,565.68
  5. Step 5: Solve for x
    x = 67,560,038,565.68/298,270.64
  6. Step 6: Final answer
    x = 226,505.83

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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.