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Finding the Fourth Proportional to 301,644.72, 452,525.37 and 114,641.64

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Solution

The fourth proportional to 301,644.72, 452,525.37 and 114,641.64 is: 171,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,644.72 : 452,525.37 = 114,641.64 : x
  2. Step 2: Convert to fraction form
    301,644.72/452,525.37 = 114,641.64/x
  3. Step 3: Cross multiply
    301,644.72x = 452,525.37 × 114,641.64
  4. Step 4: Simplify right side
    301,644.72x = 51,878,250,558.41
  5. Step 5: Solve for x
    x = 51,878,250,558.41/301,644.72
  6. Step 6: Final answer
    x = 171,984.61

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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.