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Finding the Fourth Proportional to 311,823.64, 430,316.65 and 168,583.64

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Solution

The fourth proportional to 311,823.64, 430,316.65 and 168,583.64 is: 232,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,823.64 : 430,316.65 = 168,583.64 : x
  2. Step 2: Convert to fraction form
    311,823.64/430,316.65 = 168,583.64/x
  3. Step 3: Cross multiply
    311,823.64x = 430,316.65 × 168,583.64
  4. Step 4: Simplify right side
    311,823.64x = 72,544,347,209.61
  5. Step 5: Solve for x
    x = 72,544,347,209.61/311,823.64
  6. Step 6: Final answer
    x = 232,645.44

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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.