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Finding the Fourth Proportional to 323,264.67, 446,073.31 and 180,038.04

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Solution

The fourth proportional to 323,264.67, 446,073.31 and 180,038.04 is: 248,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,264.67 : 446,073.31 = 180,038.04 : x
  2. Step 2: Convert to fraction form
    323,264.67/446,073.31 = 180,038.04/x
  3. Step 3: Cross multiply
    323,264.67x = 446,073.31 × 180,038.04
  4. Step 4: Simplify right side
    323,264.67x = 80,310,164,428.71
  5. Step 5: Solve for x
    x = 80,310,164,428.71/323,264.67
  6. Step 6: Final answer
    x = 248,434.71

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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.