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Finding the Fourth Proportional to 357,842.32, 493,816.87 and 196,693.91

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Solution

The fourth proportional to 357,842.32, 493,816.87 and 196,693.91 is: 271,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,842.32 : 493,816.87 = 196,693.91 : x
  2. Step 2: Convert to fraction form
    357,842.32/493,816.87 = 196,693.91/x
  3. Step 3: Cross multiply
    357,842.32x = 493,816.87 × 196,693.91
  4. Step 4: Simplify right side
    357,842.32x = 97,130,770,962.27
  5. Step 5: Solve for x
    x = 97,130,770,962.27/357,842.32
  6. Step 6: Final answer
    x = 271,434.55

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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.