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Finding the Fourth Proportional to 357,913.50, 493,908.03 and 196,767.39

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Solution

The fourth proportional to 357,913.50, 493,908.03 and 196,767.39 is: 271,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,913.50 : 493,908.03 = 196,767.39 : x
  2. Step 2: Convert to fraction form
    357,913.50/493,908.03 = 196,767.39/x
  3. Step 3: Cross multiply
    357,913.50x = 493,908.03 × 196,767.39
  4. Step 4: Simplify right side
    357,913.50x = 97,184,993,963.14
  5. Step 5: Solve for x
    x = 97,184,993,963.14/357,913.50
  6. Step 6: Final answer
    x = 271,532.07

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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.