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Finding the Fourth Proportional to 301,690.38, 452,591.10 and 99,297.84

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Solution

The fourth proportional to 301,690.38, 452,591.10 and 99,297.84 is: 148,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,690.38 : 452,591.10 = 99,297.84 : x
  2. Step 2: Convert to fraction form
    301,690.38/452,591.10 = 99,297.84/x
  3. Step 3: Cross multiply
    301,690.38x = 452,591.10 × 99,297.84
  4. Step 4: Simplify right side
    301,690.38x = 44,941,318,633.22
  5. Step 5: Solve for x
    x = 44,941,318,633.22/301,690.38
  6. Step 6: Final answer
    x = 148,965.04

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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.