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Finding the Fourth Proportional to 311,497.94, 429,867.42 and 168,258.10

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Solution

The fourth proportional to 311,497.94, 429,867.42 and 168,258.10 is: 232,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,497.94 : 429,867.42 = 168,258.10 : x
  2. Step 2: Convert to fraction form
    311,497.94/429,867.42 = 168,258.10/x
  3. Step 3: Cross multiply
    311,497.94x = 429,867.42 × 168,258.10
  4. Step 4: Simplify right side
    311,497.94x = 72,328,674,266.43
  5. Step 5: Solve for x
    x = 72,328,674,266.43/311,497.94
  6. Step 6: Final answer
    x = 232,196.31

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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.