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Finding the Fourth Proportional to 462,934, 638,852.76 and 250,966

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Solution

The fourth proportional to 462,934, 638,852.76 and 250,966 is: 346,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,934 : 638,852.76 = 250,966 : x
  2. Step 2: Convert to fraction form
    462,934/638,852.76 = 250,966/x
  3. Step 3: Cross multiply
    462,934x = 638,852.76 × 250,966
  4. Step 4: Simplify right side
    462,934x = 160,330,321,766.16
  5. Step 5: Solve for x
    x = 160,330,321,766.16/462,934
  6. Step 6: Final answer
    x = 346,335.16

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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.