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Finding the Fourth Proportional to 416,157.84, 574,299.76 and 234,877.36

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Solution

The fourth proportional to 416,157.84, 574,299.76 and 234,877.36 is: 324,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,157.84 : 574,299.76 = 234,877.36 : x
  2. Step 2: Convert to fraction form
    416,157.84/574,299.76 = 234,877.36/x
  3. Step 3: Cross multiply
    416,157.84x = 574,299.76 × 234,877.36
  4. Step 4: Simplify right side
    416,157.84x = 134,890,011,477.43
  5. Step 5: Solve for x
    x = 134,890,011,477.43/416,157.84
  6. Step 6: Final answer
    x = 324,131.85

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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.