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Finding the Fourth Proportional to 438,795, 658,192.50 and 106,371

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Solution

The fourth proportional to 438,795, 658,192.50 and 106,371 is: 159,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,795 : 658,192.50 = 106,371 : x
  2. Step 2: Convert to fraction form
    438,795/658,192.50 = 106,371/x
  3. Step 3: Cross multiply
    438,795x = 658,192.50 × 106,371
  4. Step 4: Simplify right side
    438,795x = 70,012,594,417.50
  5. Step 5: Solve for x
    x = 70,012,594,417.50/438,795
  6. Step 6: Final answer
    x = 159,556.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.