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Finding the Fourth Proportional to 301,825.07, 452,751.44 and 213,473.00

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Solution

The fourth proportional to 301,825.07, 452,751.44 and 213,473.00 is: 320,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,825.07 : 452,751.44 = 213,473.00 : x
  2. Step 2: Convert to fraction form
    301,825.07/452,751.44 = 213,473.00/x
  3. Step 3: Cross multiply
    301,825.07x = 452,751.44 × 213,473.00
  4. Step 4: Simplify right side
    301,825.07x = 96,650,204,820.00
  5. Step 5: Solve for x
    x = 96,650,204,820.00/301,825.07
  6. Step 6: Final answer
    x = 320,219.28

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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.