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Finding the Fourth Proportional to 397,315.40, 595,454.70 and 184,058.60

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Solution

The fourth proportional to 397,315.40, 595,454.70 and 184,058.60 is: 275,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,315.40 : 595,454.70 = 184,058.60 : x
  2. Step 2: Convert to fraction form
    397,315.40/595,454.70 = 184,058.60/x
  3. Step 3: Cross multiply
    397,315.40x = 595,454.70 × 184,058.60
  4. Step 4: Simplify right side
    397,315.40x = 109,598,558,445.42
  5. Step 5: Solve for x
    x = 109,598,558,445.42/397,315.40
  6. Step 6: Final answer
    x = 275,847.75

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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.