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Finding the Fourth Proportional to 301,650.72, 452,534.36 and 114,647.64

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Solution

The fourth proportional to 301,650.72, 452,534.36 and 114,647.64 is: 171,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,650.72 : 452,534.36 = 114,647.64 : x
  2. Step 2: Convert to fraction form
    301,650.72/452,534.36 = 114,647.64/x
  3. Step 3: Cross multiply
    301,650.72x = 452,534.36 × 114,647.64
  4. Step 4: Simplify right side
    301,650.72x = 51,881,996,392.91
  5. Step 5: Solve for x
    x = 51,881,996,392.91/301,650.72
  6. Step 6: Final answer
    x = 171,993.61

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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.