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Finding the Fourth Proportional to 417,796.62, 576,498.48 and 238,914.06

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Solution

The fourth proportional to 417,796.62, 576,498.48 and 238,914.06 is: 329,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,796.62 : 576,498.48 = 238,914.06 : x
  2. Step 2: Convert to fraction form
    417,796.62/576,498.48 = 238,914.06/x
  3. Step 3: Cross multiply
    417,796.62x = 576,498.48 × 238,914.06
  4. Step 4: Simplify right side
    417,796.62x = 137,733,592,440.63
  5. Step 5: Solve for x
    x = 137,733,592,440.63/417,796.62
  6. Step 6: Final answer
    x = 329,666.60

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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.