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Finding the Fourth Proportional to 397,014.48, 595,554.48 and 127,182

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Solution

The fourth proportional to 397,014.48, 595,554.48 and 127,182 is: 190,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,014.48 : 595,554.48 = 127,182 : x
  2. Step 2: Convert to fraction form
    397,014.48/595,554.48 = 127,182/x
  3. Step 3: Cross multiply
    397,014.48x = 595,554.48 × 127,182
  4. Step 4: Simplify right side
    397,014.48x = 75,743,809,875.36
  5. Step 5: Solve for x
    x = 75,743,809,875.36/397,014.48
  6. Step 6: Final answer
    x = 190,783.49

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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.