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Finding the Fourth Proportional to 561,697.84, 774,953.76 and 319,809.30

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Solution

The fourth proportional to 561,697.84, 774,953.76 and 319,809.30 is: 441,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,697.84 : 774,953.76 = 319,809.30 : x
  2. Step 2: Convert to fraction form
    561,697.84/774,953.76 = 319,809.30/x
  3. Step 3: Cross multiply
    561,697.84x = 774,953.76 × 319,809.30
  4. Step 4: Simplify right side
    561,697.84x = 247,837,419,517.97
  5. Step 5: Solve for x
    x = 247,837,419,517.97/561,697.84
  6. Step 6: Final answer
    x = 441,229.08

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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.