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Finding the Fourth Proportional to 384,707.34, 531,044.28 and 344,349.90

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Solution

The fourth proportional to 384,707.34, 531,044.28 and 344,349.90 is: 475,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,707.34 : 531,044.28 = 344,349.90 : x
  2. Step 2: Convert to fraction form
    384,707.34/531,044.28 = 344,349.90/x
  3. Step 3: Cross multiply
    384,707.34x = 531,044.28 × 344,349.90
  4. Step 4: Simplify right side
    384,707.34x = 182,865,044,713.57
  5. Step 5: Solve for x
    x = 182,865,044,713.57/384,707.34
  6. Step 6: Final answer
    x = 475,335.47

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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.