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Finding the Fourth Proportional to 357,174.86, 492,931.56 and 196,057.20

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Solution

The fourth proportional to 357,174.86, 492,931.56 and 196,057.20 is: 270,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,174.86 : 492,931.56 = 196,057.20 : x
  2. Step 2: Convert to fraction form
    357,174.86/492,931.56 = 196,057.20/x
  3. Step 3: Cross multiply
    357,174.86x = 492,931.56 × 196,057.20
  4. Step 4: Simplify right side
    357,174.86x = 96,642,781,445.23
  5. Step 5: Solve for x
    x = 96,642,781,445.23/357,174.86
  6. Step 6: Final answer
    x = 270,575.54

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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.