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Finding the Fourth Proportional to 396,947.40, 596,187.03 and 340,150.11

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Solution

The fourth proportional to 396,947.40, 596,187.03 and 340,150.11 is: 510,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,947.40 : 596,187.03 = 340,150.11 : x
  2. Step 2: Convert to fraction form
    396,947.40/596,187.03 = 340,150.11/x
  3. Step 3: Cross multiply
    396,947.40x = 596,187.03 × 340,150.11
  4. Step 4: Simplify right side
    396,947.40x = 202,793,083,835.07
  5. Step 5: Solve for x
    x = 202,793,083,835.07/396,947.40
  6. Step 6: Final answer
    x = 510,881.50

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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.