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Finding the Fourth Proportional to 357,790.93, 493,752.55 and 196,662.49

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Solution

The fourth proportional to 357,790.93, 493,752.55 and 196,662.49 is: 271,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,790.93 : 493,752.55 = 196,662.49 : x
  2. Step 2: Convert to fraction form
    357,790.93/493,752.55 = 196,662.49/x
  3. Step 3: Cross multiply
    357,790.93x = 493,752.55 × 196,662.49
  4. Step 4: Simplify right side
    357,790.93x = 97,102,604,200.81
  5. Step 5: Solve for x
    x = 97,102,604,200.81/357,790.93
  6. Step 6: Final answer
    x = 271,394.82

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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.