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Finding the Fourth Proportional to 323,745.80, 446,769.47 and 180,502.97

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Solution

The fourth proportional to 323,745.80, 446,769.47 and 180,502.97 is: 249,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,745.80 : 446,769.47 = 180,502.97 : x
  2. Step 2: Convert to fraction form
    323,745.80/446,769.47 = 180,502.97/x
  3. Step 3: Cross multiply
    323,745.80x = 446,769.47 × 180,502.97
  4. Step 4: Simplify right side
    323,745.80x = 80,643,214,457.74
  5. Step 5: Solve for x
    x = 80,643,214,457.74/323,745.80
  6. Step 6: Final answer
    x = 249,094.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.