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Finding the Fourth Proportional to 305,476.58, 458,256.52 and 177,453.02

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Solution

The fourth proportional to 305,476.58, 458,256.52 and 177,453.02 is: 266,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,476.58 : 458,256.52 = 177,453.02 : x
  2. Step 2: Convert to fraction form
    305,476.58/458,256.52 = 177,453.02/x
  3. Step 3: Cross multiply
    305,476.58x = 458,256.52 × 177,453.02
  4. Step 4: Simplify right side
    305,476.58x = 81,319,003,408.69
  5. Step 5: Solve for x
    x = 81,319,003,408.69/305,476.58
  6. Step 6: Final answer
    x = 266,203.72

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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.