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Finding the Fourth Proportional to 258,905.96, 357,400.34 and 174,072.20

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Solution

The fourth proportional to 258,905.96, 357,400.34 and 174,072.20 is: 240,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,905.96 : 357,400.34 = 174,072.20 : x
  2. Step 2: Convert to fraction form
    258,905.96/357,400.34 = 174,072.20/x
  3. Step 3: Cross multiply
    258,905.96x = 357,400.34 × 174,072.20
  4. Step 4: Simplify right side
    258,905.96x = 62,213,463,464.55
  5. Step 5: Solve for x
    x = 62,213,463,464.55/258,905.96
  6. Step 6: Final answer
    x = 240,293.67

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