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Finding the Fourth Proportional to 323,280.64, 446,095.26 and 180,053.98

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Solution

The fourth proportional to 323,280.64, 446,095.26 and 180,053.98 is: 248,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,280.64 : 446,095.26 = 180,053.98 : x
  2. Step 2: Convert to fraction form
    323,280.64/446,095.26 = 180,053.98/x
  3. Step 3: Cross multiply
    323,280.64x = 446,095.26 × 180,053.98
  4. Step 4: Simplify right side
    323,280.64x = 80,321,227,022.13
  5. Step 5: Solve for x
    x = 80,321,227,022.13/323,280.64
  6. Step 6: Final answer
    x = 248,456.66

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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.