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Finding the Fourth Proportional to 414,416.96, 571,894.59 and 233,129.03

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Solution

The fourth proportional to 414,416.96, 571,894.59 and 233,129.03 is: 321,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,416.96 : 571,894.59 = 233,129.03 : x
  2. Step 2: Convert to fraction form
    414,416.96/571,894.59 = 233,129.03/x
  3. Step 3: Cross multiply
    414,416.96x = 571,894.59 × 233,129.03
  4. Step 4: Simplify right side
    414,416.96x = 133,325,231,028.95
  5. Step 5: Solve for x
    x = 133,325,231,028.95/414,416.96
  6. Step 6: Final answer
    x = 321,717.60

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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.