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Finding the Fourth Proportional to 1,096,440, 1,644,901.92 and 465,892.80

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Solution

The fourth proportional to 1,096,440, 1,644,901.92 and 465,892.80 is: 698,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,440 : 1,644,901.92 = 465,892.80 : x
  2. Step 2: Convert to fraction form
    1,096,440/1,644,901.92 = 465,892.80/x
  3. Step 3: Cross multiply
    1,096,440x = 1,644,901.92 × 465,892.80
  4. Step 4: Simplify right side
    1,096,440x = 766,347,961,234.18
  5. Step 5: Solve for x
    x = 766,347,961,234.18/1,096,440
  6. Step 6: Final answer
    x = 698,942.00

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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.