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Finding the Fourth Proportional to 1,096,000, 1,644,000 and 308,032

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Solution

The fourth proportional to 1,096,000, 1,644,000 and 308,032 is: 462,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,000 : 1,644,000 = 308,032 : x
  2. Step 2: Convert to fraction form
    1,096,000/1,644,000 = 308,032/x
  3. Step 3: Cross multiply
    1,096,000x = 1,644,000 × 308,032
  4. Step 4: Simplify right side
    1,096,000x = 506,404,608,000
  5. Step 5: Solve for x
    x = 506,404,608,000/1,096,000
  6. Step 6: Final answer
    x = 462,048

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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.