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Finding the Fourth Proportional to 329,825.64, 455,169.56 and 186,582.82

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Solution

The fourth proportional to 329,825.64, 455,169.56 and 186,582.82 is: 257,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,825.64 : 455,169.56 = 186,582.82 : x
  2. Step 2: Convert to fraction form
    329,825.64/455,169.56 = 186,582.82/x
  3. Step 3: Cross multiply
    329,825.64x = 455,169.56 × 186,582.82
  4. Step 4: Simplify right side
    329,825.64x = 84,926,820,082.96
  5. Step 5: Solve for x
    x = 84,926,820,082.96/329,825.64
  6. Step 6: Final answer
    x = 257,490.05

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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.