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Finding the Fourth Proportional to 289,583.40, 434,418.30 and 102,580.20

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Solution

The fourth proportional to 289,583.40, 434,418.30 and 102,580.20 is: 153,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,583.40 : 434,418.30 = 102,580.20 : x
  2. Step 2: Convert to fraction form
    289,583.40/434,418.30 = 102,580.20/x
  3. Step 3: Cross multiply
    289,583.40x = 434,418.30 × 102,580.20
  4. Step 4: Simplify right side
    289,583.40x = 44,562,716,097.66
  5. Step 5: Solve for x
    x = 44,562,716,097.66/289,583.40
  6. Step 6: Final answer
    x = 153,885.60

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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.