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Finding the Fourth Proportional to 357,630.72, 493,533.72 and 196,489.10

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Solution

The fourth proportional to 357,630.72, 493,533.72 and 196,489.10 is: 271,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,630.72 : 493,533.72 = 196,489.10 : x
  2. Step 2: Convert to fraction form
    357,630.72/493,533.72 = 196,489.10/x
  3. Step 3: Cross multiply
    357,630.72x = 493,533.72 × 196,489.10
  4. Step 4: Simplify right side
    357,630.72x = 96,973,996,462.45
  5. Step 5: Solve for x
    x = 96,973,996,462.45/357,630.72
  6. Step 6: Final answer
    x = 271,156.79

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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.