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Finding the Fourth Proportional to 532,104.42, 734,320.31 and 302,694.95

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Solution

The fourth proportional to 532,104.42, 734,320.31 and 302,694.95 is: 417,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,104.42 : 734,320.31 = 302,694.95 : x
  2. Step 2: Convert to fraction form
    532,104.42/734,320.31 = 302,694.95/x
  3. Step 3: Cross multiply
    532,104.42x = 734,320.31 × 302,694.95
  4. Step 4: Simplify right side
    532,104.42x = 222,275,044,334.36
  5. Step 5: Solve for x
    x = 222,275,044,334.36/532,104.42
  6. Step 6: Final answer
    x = 417,728.24

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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.