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Finding the Fourth Proportional to 433,499.71, 650,436.40 and 180,829.97

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Solution

The fourth proportional to 433,499.71, 650,436.40 and 180,829.97 is: 271,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,499.71 : 650,436.40 = 180,829.97 : x
  2. Step 2: Convert to fraction form
    433,499.71/650,436.40 = 180,829.97/x
  3. Step 3: Cross multiply
    433,499.71x = 650,436.40 × 180,829.97
  4. Step 4: Simplify right side
    433,499.71x = 117,618,391,446.73
  5. Step 5: Solve for x
    x = 117,618,391,446.73/433,499.71
  6. Step 6: Final answer
    x = 271,322.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.