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Finding the Fourth Proportional to 477,000.48, 658,272.78 and 262,146

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Solution

The fourth proportional to 477,000.48, 658,272.78 and 262,146 is: 361,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,000.48 : 658,272.78 = 262,146 : x
  2. Step 2: Convert to fraction form
    477,000.48/658,272.78 = 262,146/x
  3. Step 3: Cross multiply
    477,000.48x = 658,272.78 × 262,146
  4. Step 4: Simplify right side
    477,000.48x = 172,563,576,185.88
  5. Step 5: Solve for x
    x = 172,563,576,185.88/477,000.48
  6. Step 6: Final answer
    x = 361,768.14

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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.