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Finding the Fourth Proportional to 396,959.40, 596,205.06 and 340,162.14

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Solution

The fourth proportional to 396,959.40, 596,205.06 and 340,162.14 is: 510,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,959.40 : 596,205.06 = 340,162.14 : x
  2. Step 2: Convert to fraction form
    396,959.40/596,205.06 = 340,162.14/x
  3. Step 3: Cross multiply
    396,959.40x = 596,205.06 × 340,162.14
  4. Step 4: Simplify right side
    396,959.40x = 202,806,389,088.43
  5. Step 5: Solve for x
    x = 202,806,389,088.43/396,959.40
  6. Step 6: Final answer
    x = 510,899.58

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