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Finding the Fourth Proportional to 357,861.32, 493,854.74 and 196,723.16

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Solution

The fourth proportional to 357,861.32, 493,854.74 and 196,723.16 is: 271,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,861.32 : 493,854.74 = 196,723.16 : x
  2. Step 2: Convert to fraction form
    357,861.32/493,854.74 = 196,723.16/x
  3. Step 3: Cross multiply
    357,861.32x = 493,854.74 × 196,723.16
  4. Step 4: Simplify right side
    357,861.32x = 97,152,661,580.89
  5. Step 5: Solve for x
    x = 97,152,661,580.89/357,861.32
  6. Step 6: Final answer
    x = 271,481.32

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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.