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Finding the Fourth Proportional to 414,642.24, 572,202.72 and 235,794.24

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Solution

The fourth proportional to 414,642.24, 572,202.72 and 235,794.24 is: 325,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,642.24 : 572,202.72 = 235,794.24 : x
  2. Step 2: Convert to fraction form
    414,642.24/572,202.72 = 235,794.24/x
  3. Step 3: Cross multiply
    414,642.24x = 572,202.72 × 235,794.24
  4. Step 4: Simplify right side
    414,642.24x = 134,922,105,488.33
  5. Step 5: Solve for x
    x = 134,922,105,488.33/414,642.24
  6. Step 6: Final answer
    x = 325,394.02

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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.