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Finding the Fourth Proportional to 323,878.59, 446,953.23 and 180,647.91

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Solution

The fourth proportional to 323,878.59, 446,953.23 and 180,647.91 is: 249,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,878.59 : 446,953.23 = 180,647.91 : x
  2. Step 2: Convert to fraction form
    323,878.59/446,953.23 = 180,647.91/x
  3. Step 3: Cross multiply
    323,878.59x = 446,953.23 × 180,647.91
  4. Step 4: Simplify right side
    323,878.59x = 80,741,166,867.25
  5. Step 5: Solve for x
    x = 80,741,166,867.25/323,878.59
  6. Step 6: Final answer
    x = 249,294.55

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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.