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Finding the Fourth Proportional to 357,847.20, 493,823.60 and 196,698.80

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Solution

The fourth proportional to 357,847.20, 493,823.60 and 196,698.80 is: 271,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,847.20 : 493,823.60 = 196,698.80 : x
  2. Step 2: Convert to fraction form
    357,847.20/493,823.60 = 196,698.80/x
  3. Step 3: Cross multiply
    357,847.20x = 493,823.60 × 196,698.80
  4. Step 4: Simplify right side
    357,847.20x = 97,134,506,079.07
  5. Step 5: Solve for x
    x = 97,134,506,079.07/357,847.20
  6. Step 6: Final answer
    x = 271,441.29

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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.