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Finding the Fourth Proportional to 396,935.40, 595,403.10 and 390,023.40

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Solution

The fourth proportional to 396,935.40, 595,403.10 and 390,023.40 is: 585,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,935.40 : 595,403.10 = 390,023.40 : x
  2. Step 2: Convert to fraction form
    396,935.40/595,403.10 = 390,023.40/x
  3. Step 3: Cross multiply
    396,935.40x = 595,403.10 × 390,023.40
  4. Step 4: Simplify right side
    396,935.40x = 232,221,141,432.54
  5. Step 5: Solve for x
    x = 232,221,141,432.54/396,935.40
  6. Step 6: Final answer
    x = 585,035.10

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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.