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Finding the Fourth Proportional to 1,096,004, 1,644,006 and 308,036

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Solution

The fourth proportional to 1,096,004, 1,644,006 and 308,036 is: 462,054

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,004 : 1,644,006 = 308,036 : x
  2. Step 2: Convert to fraction form
    1,096,004/1,644,006 = 308,036/x
  3. Step 3: Cross multiply
    1,096,004x = 1,644,006 × 308,036
  4. Step 4: Simplify right side
    1,096,004x = 506,413,032,216
  5. Step 5: Solve for x
    x = 506,413,032,216/1,096,004
  6. Step 6: Final answer
    x = 462,054

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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.