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Finding the Fourth Proportional to 314,762, 434,371.56 and 173,450

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Solution

The fourth proportional to 314,762, 434,371.56 and 173,450 is: 239,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,762 : 434,371.56 = 173,450 : x
  2. Step 2: Convert to fraction form
    314,762/434,371.56 = 173,450/x
  3. Step 3: Cross multiply
    314,762x = 434,371.56 × 173,450
  4. Step 4: Simplify right side
    314,762x = 75,341,747,082
  5. Step 5: Solve for x
    x = 75,341,747,082/314,762
  6. Step 6: Final answer
    x = 239,361

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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.