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Finding the Fourth Proportional to 301,577.40, 451,847.70 and 196,342.20

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Solution

The fourth proportional to 301,577.40, 451,847.70 and 196,342.20 is: 294,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,577.40 : 451,847.70 = 196,342.20 : x
  2. Step 2: Convert to fraction form
    301,577.40/451,847.70 = 196,342.20/x
  3. Step 3: Cross multiply
    301,577.40x = 451,847.70 × 196,342.20
  4. Step 4: Simplify right side
    301,577.40x = 88,716,771,482.94
  5. Step 5: Solve for x
    x = 88,716,771,482.94/301,577.40
  6. Step 6: Final answer
    x = 294,175.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.