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Finding the Fourth Proportional to 357,794.40, 493,754.77 and 196,656.24

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Solution

The fourth proportional to 357,794.40, 493,754.77 and 196,656.24 is: 271,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,794.40 : 493,754.77 = 196,656.24 : x
  2. Step 2: Convert to fraction form
    357,794.40/493,754.77 = 196,656.24/x
  3. Step 3: Cross multiply
    357,794.40x = 493,754.77 × 196,656.24
  4. Step 4: Simplify right side
    357,794.40x = 97,099,956,550.26
  5. Step 5: Solve for x
    x = 97,099,956,550.26/357,794.40
  6. Step 6: Final answer
    x = 271,384.79

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1.5x scale

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.