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Finding the Fourth Proportional to 414,826.34, 572,503.21 and 253,788.48

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Solution

The fourth proportional to 414,826.34, 572,503.21 and 253,788.48 is: 350,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,826.34 : 572,503.21 = 253,788.48 : x
  2. Step 2: Convert to fraction form
    414,826.34/572,503.21 = 253,788.48/x
  3. Step 3: Cross multiply
    414,826.34x = 572,503.21 × 253,788.48
  4. Step 4: Simplify right side
    414,826.34x = 145,294,718,826.55
  5. Step 5: Solve for x
    x = 145,294,718,826.55/414,826.34
  6. Step 6: Final answer
    x = 350,254.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.