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Finding the Fourth Proportional to 532,103.67, 734,319.27 and 302,694.20

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Solution

The fourth proportional to 532,103.67, 734,319.27 and 302,694.20 is: 417,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,103.67 : 734,319.27 = 302,694.20 : x
  2. Step 2: Convert to fraction form
    532,103.67/734,319.27 = 302,694.20/x
  3. Step 3: Cross multiply
    532,103.67x = 734,319.27 × 302,694.20
  4. Step 4: Simplify right side
    532,103.67x = 222,274,180,305.64
  5. Step 5: Solve for x
    x = 222,274,180,305.64/532,103.67
  6. Step 6: Final answer
    x = 417,727.21

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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.