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Finding the Fourth Proportional to 313,678.54, 470,516.88 and 89,039.17

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Solution

The fourth proportional to 313,678.54, 470,516.88 and 89,039.17 is: 133,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,678.54 : 470,516.88 = 89,039.17 : x
  2. Step 2: Convert to fraction form
    313,678.54/470,516.88 = 89,039.17/x
  3. Step 3: Cross multiply
    313,678.54x = 470,516.88 × 89,039.17
  4. Step 4: Simplify right side
    313,678.54x = 41,894,432,466.19
  5. Step 5: Solve for x
    x = 41,894,432,466.19/313,678.54
  6. Step 6: Final answer
    x = 133,558.49

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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.