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Finding the Fourth Proportional to 370,822.33, 511,744.85 and 209,701.38

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Solution

The fourth proportional to 370,822.33, 511,744.85 and 209,701.38 is: 289,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,822.33 : 511,744.85 = 209,701.38 : x
  2. Step 2: Convert to fraction form
    370,822.33/511,744.85 = 209,701.38/x
  3. Step 3: Cross multiply
    370,822.33x = 511,744.85 × 209,701.38
  4. Step 4: Simplify right side
    370,822.33x = 107,313,601,252.89
  5. Step 5: Solve for x
    x = 107,313,601,252.89/370,822.33
  6. Step 6: Final answer
    x = 289,393.58

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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.