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Finding the Fourth Proportional to 683,564.01, 943,315.29 and 377,640.43

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Solution

The fourth proportional to 683,564.01, 943,315.29 and 377,640.43 is: 521,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,564.01 : 943,315.29 = 377,640.43 : x
  2. Step 2: Convert to fraction form
    683,564.01/943,315.29 = 377,640.43/x
  3. Step 3: Cross multiply
    683,564.01x = 943,315.29 × 377,640.43
  4. Step 4: Simplify right side
    683,564.01x = 356,233,991,741.18
  5. Step 5: Solve for x
    x = 356,233,991,741.18/683,564.01
  6. Step 6: Final answer
    x = 521,142.11

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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.