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Finding the Fourth Proportional to 354,166.43, 488,735.37 and 193,018.01

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Solution

The fourth proportional to 354,166.43, 488,735.37 and 193,018.01 is: 266,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,166.43 : 488,735.37 = 193,018.01 : x
  2. Step 2: Convert to fraction form
    354,166.43/488,735.37 = 193,018.01/x
  3. Step 3: Cross multiply
    354,166.43x = 488,735.37 × 193,018.01
  4. Step 4: Simplify right side
    354,166.43x = 94,334,726,090.34
  5. Step 5: Solve for x
    x = 94,334,726,090.34/354,166.43
  6. Step 6: Final answer
    x = 266,357.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.