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Finding the Fourth Proportional to 320,492.40, 480,738.60 and 202,297.20

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Solution

The fourth proportional to 320,492.40, 480,738.60 and 202,297.20 is: 303,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.40 : 480,738.60 = 202,297.20 : x
  2. Step 2: Convert to fraction form
    320,492.40/480,738.60 = 202,297.20/x
  3. Step 3: Cross multiply
    320,492.40x = 480,738.60 × 202,297.20
  4. Step 4: Simplify right side
    320,492.40x = 97,252,072,711.92
  5. Step 5: Solve for x
    x = 97,252,072,711.92/320,492.40
  6. Step 6: Final answer
    x = 303,445.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.