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Finding the Fourth Proportional to 322,257.42, 483,419.61 and 153,749.34

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Solution

The fourth proportional to 322,257.42, 483,419.61 and 153,749.34 is: 230,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,257.42 : 483,419.61 = 153,749.34 : x
  2. Step 2: Convert to fraction form
    322,257.42/483,419.61 = 153,749.34/x
  3. Step 3: Cross multiply
    322,257.42x = 483,419.61 × 153,749.34
  4. Step 4: Simplify right side
    322,257.42x = 74,325,445,980.56
  5. Step 5: Solve for x
    x = 74,325,445,980.56/322,257.42
  6. Step 6: Final answer
    x = 230,639.98

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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.