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Finding the Fourth Proportional to 462,614, 638,407.32 and 250,646

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Solution

The fourth proportional to 462,614, 638,407.32 and 250,646 is: 345,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,614 : 638,407.32 = 250,646 : x
  2. Step 2: Convert to fraction form
    462,614/638,407.32 = 250,646/x
  3. Step 3: Cross multiply
    462,614x = 638,407.32 × 250,646
  4. Step 4: Simplify right side
    462,614x = 160,014,241,128.72
  5. Step 5: Solve for x
    x = 160,014,241,128.72/462,614
  6. Step 6: Final answer
    x = 345,891.48

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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.