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Finding the Fourth Proportional to 396,643.14, 595,038.51 and 130,414.16

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Solution

The fourth proportional to 396,643.14, 595,038.51 and 130,414.16 is: 195,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,643.14 : 595,038.51 = 130,414.16 : x
  2. Step 2: Convert to fraction form
    396,643.14/595,038.51 = 130,414.16/x
  3. Step 3: Cross multiply
    396,643.14x = 595,038.51 × 130,414.16
  4. Step 4: Simplify right side
    396,643.14x = 77,601,444,474.11
  5. Step 5: Solve for x
    x = 77,601,444,474.11/396,643.14
  6. Step 6: Final answer
    x = 195,645.50

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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.