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Finding the Fourth Proportional to 532,104.67, 734,320.65 and 302,695.20

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Solution

The fourth proportional to 532,104.67, 734,320.65 and 302,695.20 is: 417,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,104.67 : 734,320.65 = 302,695.20 : x
  2. Step 2: Convert to fraction form
    532,104.67/734,320.65 = 302,695.20/x
  3. Step 3: Cross multiply
    532,104.67x = 734,320.65 × 302,695.20
  4. Step 4: Simplify right side
    532,104.67x = 222,275,336,015.88
  5. Step 5: Solve for x
    x = 222,275,336,015.88/532,104.67
  6. Step 6: Final answer
    x = 417,728.59

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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.