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Finding the Fourth Proportional to 414,638.48, 572,199.92 and 233,350.40

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Solution

The fourth proportional to 414,638.48, 572,199.92 and 233,350.40 is: 322,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,638.48 : 572,199.92 = 233,350.40 : x
  2. Step 2: Convert to fraction form
    414,638.48/572,199.92 = 233,350.40/x
  3. Step 3: Cross multiply
    414,638.48x = 572,199.92 × 233,350.40
  4. Step 4: Simplify right side
    414,638.48x = 133,523,081,350.78
  5. Step 5: Solve for x
    x = 133,523,081,350.78/414,638.48
  6. Step 6: Final answer
    x = 322,022.89

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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.