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Finding the Fourth Proportional to 683,596.97, 943,300.19 and 397,112.93

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Solution

The fourth proportional to 683,596.97, 943,300.19 and 397,112.93 is: 547,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,596.97 : 943,300.19 = 397,112.93 : x
  2. Step 2: Convert to fraction form
    683,596.97/943,300.19 = 397,112.93/x
  3. Step 3: Cross multiply
    683,596.97x = 943,300.19 × 397,112.93
  4. Step 4: Simplify right side
    683,596.97x = 374,596,700,334.89
  5. Step 5: Solve for x
    x = 374,596,700,334.89/683,596.97
  6. Step 6: Final answer
    x = 547,978.88

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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.