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Finding the Fourth Proportional to 311,823.70, 430,316.70 and 168,583.74

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Solution

The fourth proportional to 311,823.70, 430,316.70 and 168,583.74 is: 232,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,823.70 : 430,316.70 = 168,583.74 : x
  2. Step 2: Convert to fraction form
    311,823.70/430,316.70 = 168,583.74/x
  3. Step 3: Cross multiply
    311,823.70x = 430,316.70 × 168,583.74
  4. Step 4: Simplify right side
    311,823.70x = 72,544,400,117.81
  5. Step 5: Solve for x
    x = 72,544,400,117.81/311,823.70
  6. Step 6: Final answer
    x = 232,645.56

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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.