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Finding the Fourth Proportional to 397,305, 595,563.84 and 186,565.68

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Solution

The fourth proportional to 397,305, 595,563.84 and 186,565.68 is: 279,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,305 : 595,563.84 = 186,565.68 : x
  2. Step 2: Convert to fraction form
    397,305/595,563.84 = 186,565.68/x
  3. Step 3: Cross multiply
    397,305x = 595,563.84 × 186,565.68
  4. Step 4: Simplify right side
    397,305x = 111,111,772,793.01
  5. Step 5: Solve for x
    x = 111,111,772,793.01/397,305
  6. Step 6: Final answer
    x = 279,663.67

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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.