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Finding the Fourth Proportional to 397,753.40, 596,111.70 and 184,496.60

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Solution

The fourth proportional to 397,753.40, 596,111.70 and 184,496.60 is: 276,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,753.40 : 596,111.70 = 184,496.60 : x
  2. Step 2: Convert to fraction form
    397,753.40/596,111.70 = 184,496.60/x
  3. Step 3: Cross multiply
    397,753.40x = 596,111.70 × 184,496.60
  4. Step 4: Simplify right side
    397,753.40x = 109,980,581,870.22
  5. Step 5: Solve for x
    x = 109,980,581,870.22/397,753.40
  6. Step 6: Final answer
    x = 276,504.44

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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.