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Finding the Fourth Proportional to 532,103.92, 734,319.62 and 302,694.45

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Solution

The fourth proportional to 532,103.92, 734,319.62 and 302,694.45 is: 417,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,103.92 : 734,319.62 = 302,694.45 : x
  2. Step 2: Convert to fraction form
    532,103.92/734,319.62 = 302,694.45/x
  3. Step 3: Cross multiply
    532,103.92x = 734,319.62 × 302,694.45
  4. Step 4: Simplify right side
    532,103.92x = 222,274,473,500.11
  5. Step 5: Solve for x
    x = 222,274,473,500.11/532,103.92
  6. Step 6: Final answer
    x = 417,727.56

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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.