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Finding the Fourth Proportional to 271,890.30, 407,835.45 and 258,768.30

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Solution

The fourth proportional to 271,890.30, 407,835.45 and 258,768.30 is: 388,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,890.30 : 407,835.45 = 258,768.30 : x
  2. Step 2: Convert to fraction form
    271,890.30/407,835.45 = 258,768.30/x
  3. Step 3: Cross multiply
    271,890.30x = 407,835.45 × 258,768.30
  4. Step 4: Simplify right side
    271,890.30x = 105,534,886,076.24
  5. Step 5: Solve for x
    x = 105,534,886,076.24/271,890.30
  6. Step 6: Final answer
    x = 388,152.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.