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Finding the Fourth Proportional to 329,808.48, 455,135.85 and 186,565.47

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Solution

The fourth proportional to 329,808.48, 455,135.85 and 186,565.47 is: 257,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,808.48 : 455,135.85 = 186,565.47 : x
  2. Step 2: Convert to fraction form
    329,808.48/455,135.85 = 186,565.47/x
  3. Step 3: Cross multiply
    329,808.48x = 455,135.85 × 186,565.47
  4. Step 4: Simplify right side
    329,808.48x = 84,912,633,769.10
  5. Step 5: Solve for x
    x = 84,912,633,769.10/329,808.48
  6. Step 6: Final answer
    x = 257,460.43

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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.