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Finding the Fourth Proportional to 323,803.88, 446,850.78 and 180,563.48

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Solution

The fourth proportional to 323,803.88, 446,850.78 and 180,563.48 is: 249,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,803.88 : 446,850.78 = 180,563.48 : x
  2. Step 2: Convert to fraction form
    323,803.88/446,850.78 = 180,563.48/x
  3. Step 3: Cross multiply
    323,803.88x = 446,850.78 × 180,563.48
  4. Step 4: Simplify right side
    323,803.88x = 80,684,931,877.51
  5. Step 5: Solve for x
    x = 80,684,931,877.51/323,803.88
  6. Step 6: Final answer
    x = 249,178.40

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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.