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Finding the Fourth Proportional to 444,084.48, 666,134.94 and 144,564

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Solution

The fourth proportional to 444,084.48, 666,134.94 and 144,564 is: 216,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,084.48 : 666,134.94 = 144,564 : x
  2. Step 2: Convert to fraction form
    444,084.48/666,134.94 = 144,564/x
  3. Step 3: Cross multiply
    444,084.48x = 666,134.94 × 144,564
  4. Step 4: Simplify right side
    444,084.48x = 96,299,131,466.16
  5. Step 5: Solve for x
    x = 96,299,131,466.16/444,084.48
  6. Step 6: Final answer
    x = 216,848.68

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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.