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Finding the Fourth Proportional to 329,812.98, 455,142.06 and 186,569.97

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Solution

The fourth proportional to 329,812.98, 455,142.06 and 186,569.97 is: 257,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,812.98 : 455,142.06 = 186,569.97 : x
  2. Step 2: Convert to fraction form
    329,812.98/455,142.06 = 186,569.97/x
  3. Step 3: Cross multiply
    329,812.98x = 455,142.06 × 186,569.97
  4. Step 4: Simplify right side
    329,812.98x = 84,915,840,479.94
  5. Step 5: Solve for x
    x = 84,915,840,479.94/329,812.98
  6. Step 6: Final answer
    x = 257,466.64

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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.