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Finding the Fourth Proportional to 329,806.98, 455,133.78 and 186,563.97

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Solution

The fourth proportional to 329,806.98, 455,133.78 and 186,563.97 is: 257,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,806.98 : 455,133.78 = 186,563.97 : x
  2. Step 2: Convert to fraction form
    329,806.98/455,133.78 = 186,563.97/x
  3. Step 3: Cross multiply
    329,806.98x = 455,133.78 × 186,563.97
  4. Step 4: Simplify right side
    329,806.98x = 84,911,564,877.91
  5. Step 5: Solve for x
    x = 84,911,564,877.91/329,806.98
  6. Step 6: Final answer
    x = 257,458.36

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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.