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Finding the Fourth Proportional to 299,935.84, 413,891.76 and 172,590.88

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Solution

The fourth proportional to 299,935.84, 413,891.76 and 172,590.88 is: 238,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,935.84 : 413,891.76 = 172,590.88 : x
  2. Step 2: Convert to fraction form
    299,935.84/413,891.76 = 172,590.88/x
  3. Step 3: Cross multiply
    299,935.84x = 413,891.76 × 172,590.88
  4. Step 4: Simplify right side
    299,935.84x = 71,433,943,083.15
  5. Step 5: Solve for x
    x = 71,433,943,083.15/299,935.84
  6. Step 6: Final answer
    x = 238,164.08

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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.