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Finding the Fourth Proportional to 1,096,454, 1,644,922.92 and 465,906.80

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Solution

The fourth proportional to 1,096,454, 1,644,922.92 and 465,906.80 is: 698,963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,454 : 1,644,922.92 = 465,906.80 : x
  2. Step 2: Convert to fraction form
    1,096,454/1,644,922.92 = 465,906.80/x
  3. Step 3: Cross multiply
    1,096,454x = 1,644,922.92 × 465,906.80
  4. Step 4: Simplify right side
    1,096,454x = 766,380,773,903.86
  5. Step 5: Solve for x
    x = 766,380,773,903.86/1,096,454
  6. Step 6: Final answer
    x = 698,963.00

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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.