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Finding the Fourth Proportional to 414,954.75, 572,631.90 and 233,668.86

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Solution

The fourth proportional to 414,954.75, 572,631.90 and 233,668.86 is: 322,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,954.75 : 572,631.90 = 233,668.86 : x
  2. Step 2: Convert to fraction form
    414,954.75/572,631.90 = 233,668.86/x
  3. Step 3: Cross multiply
    414,954.75x = 572,631.90 × 233,668.86
  4. Step 4: Simplify right side
    414,954.75x = 133,806,243,272.63
  5. Step 5: Solve for x
    x = 133,806,243,272.63/414,954.75
  6. Step 6: Final answer
    x = 322,459.84

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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.