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Finding the Fourth Proportional to 329,578.42, 454,830.47 and 186,329.92

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Solution

The fourth proportional to 329,578.42, 454,830.47 and 186,329.92 is: 257,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,578.42 : 454,830.47 = 186,329.92 : x
  2. Step 2: Convert to fraction form
    329,578.42/454,830.47 = 186,329.92/x
  3. Step 3: Cross multiply
    329,578.42x = 454,830.47 × 186,329.92
  4. Step 4: Simplify right side
    329,578.42x = 84,748,524,571.48
  5. Step 5: Solve for x
    x = 84,748,524,571.48/329,578.42
  6. Step 6: Final answer
    x = 257,142.21

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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.