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Finding the Fourth Proportional to 483,147.78, 724,810.76 and 158,954.12

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Solution

The fourth proportional to 483,147.78, 724,810.76 and 158,954.12 is: 238,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,147.78 : 724,810.76 = 158,954.12 : x
  2. Step 2: Convert to fraction form
    483,147.78/724,810.76 = 158,954.12/x
  3. Step 3: Cross multiply
    483,147.78x = 724,810.76 × 158,954.12
  4. Step 4: Simplify right side
    483,147.78x = 115,211,656,522.33
  5. Step 5: Solve for x
    x = 115,211,656,522.33/483,147.78
  6. Step 6: Final answer
    x = 238,460.49

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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.