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Finding the Fourth Proportional to 438,968.16, 658,447.44 and 106,544.16

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Solution

The fourth proportional to 438,968.16, 658,447.44 and 106,544.16 is: 159,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,968.16 : 658,447.44 = 106,544.16 : x
  2. Step 2: Convert to fraction form
    438,968.16/658,447.44 = 106,544.16/x
  3. Step 3: Cross multiply
    438,968.16x = 658,447.44 × 106,544.16
  4. Step 4: Simplify right side
    438,968.16x = 70,153,729,398.95
  5. Step 5: Solve for x
    x = 70,153,729,398.95/438,968.16
  6. Step 6: Final answer
    x = 159,815.07

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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.