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Finding the Fourth Proportional to 357,359.22, 493,152.30 and 196,212.87

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Solution

The fourth proportional to 357,359.22, 493,152.30 and 196,212.87 is: 270,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,359.22 : 493,152.30 = 196,212.87 : x
  2. Step 2: Convert to fraction form
    357,359.22/493,152.30 = 196,212.87/x
  3. Step 3: Cross multiply
    357,359.22x = 493,152.30 × 196,212.87
  4. Step 4: Simplify right side
    357,359.22x = 96,762,828,130.10
  5. Step 5: Solve for x
    x = 96,762,828,130.10/357,359.22
  6. Step 6: Final answer
    x = 270,771.88

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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.