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Finding the Fourth Proportional to 319,853.94, 441,398.43 and 176,614.26

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Solution

The fourth proportional to 319,853.94, 441,398.43 and 176,614.26 is: 243,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,853.94 : 441,398.43 = 176,614.26 : x
  2. Step 2: Convert to fraction form
    319,853.94/441,398.43 = 176,614.26/x
  3. Step 3: Cross multiply
    319,853.94x = 441,398.43 × 176,614.26
  4. Step 4: Simplify right side
    319,853.94x = 77,957,257,079.61
  5. Step 5: Solve for x
    x = 77,957,257,079.61/319,853.94
  6. Step 6: Final answer
    x = 243,727.67

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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.