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Finding the Fourth Proportional to 658,832.96, 909,165.06 and 357,020.48

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Solution

The fourth proportional to 658,832.96, 909,165.06 and 357,020.48 is: 492,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,832.96 : 909,165.06 = 357,020.48 : x
  2. Step 2: Convert to fraction form
    658,832.96/909,165.06 = 357,020.48/x
  3. Step 3: Cross multiply
    658,832.96x = 909,165.06 × 357,020.48
  4. Step 4: Simplify right side
    658,832.96x = 324,590,546,120.43
  5. Step 5: Solve for x
    x = 324,590,546,120.43/658,832.96
  6. Step 6: Final answer
    x = 492,675.03

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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.