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Finding the Fourth Proportional to 319,908.69, 441,467.01 and 174,709.71

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Solution

The fourth proportional to 319,908.69, 441,467.01 and 174,709.71 is: 241,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,908.69 : 441,467.01 = 174,709.71 : x
  2. Step 2: Convert to fraction form
    319,908.69/441,467.01 = 174,709.71/x
  3. Step 3: Cross multiply
    319,908.69x = 441,467.01 × 174,709.71
  4. Step 4: Simplify right side
    319,908.69x = 77,128,573,291.67
  5. Step 5: Solve for x
    x = 77,128,573,291.67/319,908.69
  6. Step 6: Final answer
    x = 241,095.59

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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.