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Finding the Fourth Proportional to 507,863.38, 761,138.97 and 241,705.48

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Solution

The fourth proportional to 507,863.38, 761,138.97 and 241,705.48 is: 362,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,863.38 : 761,138.97 = 241,705.48 : x
  2. Step 2: Convert to fraction form
    507,863.38/761,138.97 = 241,705.48/x
  3. Step 3: Cross multiply
    507,863.38x = 761,138.97 × 241,705.48
  4. Step 4: Simplify right side
    507,863.38x = 183,971,460,090.56
  5. Step 5: Solve for x
    x = 183,971,460,090.56/507,863.38
  6. Step 6: Final answer
    x = 362,245.96

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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.