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Finding the Fourth Proportional to 357,783.45, 493,750.22 and 196,642.59

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Solution

The fourth proportional to 357,783.45, 493,750.22 and 196,642.59 is: 271,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,783.45 : 493,750.22 = 196,642.59 : x
  2. Step 2: Convert to fraction form
    357,783.45/493,750.22 = 196,642.59/x
  3. Step 3: Cross multiply
    357,783.45x = 493,750.22 × 196,642.59
  4. Step 4: Simplify right side
    357,783.45x = 97,092,321,090.66
  5. Step 5: Solve for x
    x = 97,092,321,090.66/357,783.45
  6. Step 6: Final answer
    x = 271,371.75

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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.