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Finding the Fourth Proportional to 328,652.28, 492,978.42 and 107,036.28

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Solution

The fourth proportional to 328,652.28, 492,978.42 and 107,036.28 is: 160,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,652.28 : 492,978.42 = 107,036.28 : x
  2. Step 2: Convert to fraction form
    328,652.28/492,978.42 = 107,036.28/x
  3. Step 3: Cross multiply
    328,652.28x = 492,978.42 × 107,036.28
  4. Step 4: Simplify right side
    328,652.28x = 52,766,576,197.08
  5. Step 5: Solve for x
    x = 52,766,576,197.08/328,652.28
  6. Step 6: Final answer
    x = 160,554.42

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Why These Related Problems?

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