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Finding the Fourth Proportional to 301,515.60, 451,617.30 and 182,980.20

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Solution

The fourth proportional to 301,515.60, 451,617.30 and 182,980.20 is: 274,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,515.60 : 451,617.30 = 182,980.20 : x
  2. Step 2: Convert to fraction form
    301,515.60/451,617.30 = 182,980.20/x
  3. Step 3: Cross multiply
    301,515.60x = 451,617.30 × 182,980.20
  4. Step 4: Simplify right side
    301,515.60x = 82,637,023,877.46
  5. Step 5: Solve for x
    x = 82,637,023,877.46/301,515.60
  6. Step 6: Final answer
    x = 274,072.13

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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.