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Finding the Fourth Proportional to 357,762.15, 493,724.76 and 196,629.45

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Solution

The fourth proportional to 357,762.15, 493,724.76 and 196,629.45 is: 271,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,762.15 : 493,724.76 = 196,629.45 : x
  2. Step 2: Convert to fraction form
    357,762.15/493,724.76 = 196,629.45/x
  3. Step 3: Cross multiply
    357,762.15x = 493,724.76 × 196,629.45
  4. Step 4: Simplify right side
    357,762.15x = 97,080,828,010.18
  5. Step 5: Solve for x
    x = 97,080,828,010.18/357,762.15
  6. Step 6: Final answer
    x = 271,355.78

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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.