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Finding the Fourth Proportional to 414,509.50, 572,023.12 and 235,661.50

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Solution

The fourth proportional to 414,509.50, 572,023.12 and 235,661.50 is: 325,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,509.50 : 572,023.12 = 235,661.50 : x
  2. Step 2: Convert to fraction form
    414,509.50/572,023.12 = 235,661.50/x
  3. Step 3: Cross multiply
    414,509.50x = 572,023.12 × 235,661.50
  4. Step 4: Simplify right side
    414,509.50x = 134,803,826,493.88
  5. Step 5: Solve for x
    x = 134,803,826,493.88/414,509.50
  6. Step 6: Final answer
    x = 325,212.88

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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.