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Finding the Fourth Proportional to 414,521.40, 572,039.50 and 235,673.40

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Solution

The fourth proportional to 414,521.40, 572,039.50 and 235,673.40 is: 325,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,521.40 : 572,039.50 = 235,673.40 : x
  2. Step 2: Convert to fraction form
    414,521.40/572,039.50 = 235,673.40/x
  3. Step 3: Cross multiply
    414,521.40x = 572,039.50 × 235,673.40
  4. Step 4: Simplify right side
    414,521.40x = 134,814,493,899.30
  5. Step 5: Solve for x
    x = 134,814,493,899.30/414,521.40
  6. Step 6: Final answer
    x = 325,229.27

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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.