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Finding the Fourth Proportional to 785,658.96, 1,084,172.04 and 446,082

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Solution

The fourth proportional to 785,658.96, 1,084,172.04 and 446,082 is: 615,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,658.96 : 1,084,172.04 = 446,082 : x
  2. Step 2: Convert to fraction form
    785,658.96/1,084,172.04 = 446,082/x
  3. Step 3: Cross multiply
    785,658.96x = 1,084,172.04 × 446,082
  4. Step 4: Simplify right side
    785,658.96x = 483,629,631,947.28
  5. Step 5: Solve for x
    x = 483,629,631,947.28/785,658.96
  6. Step 6: Final answer
    x = 615,571.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.