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Finding the Fourth Proportional to 301,643.96, 452,524.25 and 114,640.88

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Solution

The fourth proportional to 301,643.96, 452,524.25 and 114,640.88 is: 171,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,643.96 : 452,524.25 = 114,640.88 : x
  2. Step 2: Convert to fraction form
    301,643.96/452,524.25 = 114,640.88/x
  3. Step 3: Cross multiply
    301,643.96x = 452,524.25 × 114,640.88
  4. Step 4: Simplify right side
    301,643.96x = 51,877,776,265.32
  5. Step 5: Solve for x
    x = 51,877,776,265.32/301,643.96
  6. Step 6: Final answer
    x = 171,983.48

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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.