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Finding the Fourth Proportional to 323,886.67, 446,964.29 and 180,643.03

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Solution

The fourth proportional to 323,886.67, 446,964.29 and 180,643.03 is: 249,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,886.67 : 446,964.29 = 180,643.03 : x
  2. Step 2: Convert to fraction form
    323,886.67/446,964.29 = 180,643.03/x
  3. Step 3: Cross multiply
    323,886.67x = 446,964.29 × 180,643.03
  4. Step 4: Simplify right side
    323,886.67x = 80,740,983,647.40
  5. Step 5: Solve for x
    x = 80,740,983,647.40/323,886.67
  6. Step 6: Final answer
    x = 249,287.76

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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.