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Finding the Fourth Proportional to 409,290.22, 614,319.27 and 251,826.22

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Solution

The fourth proportional to 409,290.22, 614,319.27 and 251,826.22 is: 377,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,290.22 : 614,319.27 = 251,826.22 : x
  2. Step 2: Convert to fraction form
    409,290.22/614,319.27 = 251,826.22/x
  3. Step 3: Cross multiply
    409,290.22x = 614,319.27 × 251,826.22
  4. Step 4: Simplify right side
    409,290.22x = 154,701,699,637.26
  5. Step 5: Solve for x
    x = 154,701,699,637.26/409,290.22
  6. Step 6: Final answer
    x = 377,975.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.