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Finding the Fourth Proportional to 291,647.40, 437,231.10 and 131,733.80

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Solution

The fourth proportional to 291,647.40, 437,231.10 and 131,733.80 is: 197,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,647.40 : 437,231.10 = 131,733.80 : x
  2. Step 2: Convert to fraction form
    291,647.40/437,231.10 = 131,733.80/x
  3. Step 3: Cross multiply
    291,647.40x = 437,231.10 × 131,733.80
  4. Step 4: Simplify right side
    291,647.40x = 57,598,114,281.18
  5. Step 5: Solve for x
    x = 57,598,114,281.18/291,647.40
  6. Step 6: Final answer
    x = 197,492.29

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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.