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Finding the Fourth Proportional to 509,450.40, 702,823.50 and 318,131.64

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Solution

The fourth proportional to 509,450.40, 702,823.50 and 318,131.64 is: 438,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,450.40 : 702,823.50 = 318,131.64 : x
  2. Step 2: Convert to fraction form
    509,450.40/702,823.50 = 318,131.64/x
  3. Step 3: Cross multiply
    509,450.40x = 702,823.50 × 318,131.64
  4. Step 4: Simplify right side
    509,450.40x = 223,590,392,685.54
  5. Step 5: Solve for x
    x = 223,590,392,685.54/509,450.40
  6. Step 6: Final answer
    x = 438,885.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.