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Finding the Fourth Proportional to 397,188.57, 595,595.61 and 144,290.73

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Solution

The fourth proportional to 397,188.57, 595,595.61 and 144,290.73 is: 216,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,188.57 : 595,595.61 = 144,290.73 : x
  2. Step 2: Convert to fraction form
    397,188.57/595,595.61 = 144,290.73/x
  3. Step 3: Cross multiply
    397,188.57x = 595,595.61 × 144,290.73
  4. Step 4: Simplify right side
    397,188.57x = 85,938,925,351.70
  5. Step 5: Solve for x
    x = 85,938,925,351.70/397,188.57
  6. Step 6: Final answer
    x = 216,368.07

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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.