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Finding the Fourth Proportional to 467,977.84, 645,809.55 and 264,071.98

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Solution

The fourth proportional to 467,977.84, 645,809.55 and 264,071.98 is: 364,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,977.84 : 645,809.55 = 264,071.98 : x
  2. Step 2: Convert to fraction form
    467,977.84/645,809.55 = 264,071.98/x
  3. Step 3: Cross multiply
    467,977.84x = 645,809.55 × 264,071.98
  4. Step 4: Simplify right side
    467,977.84x = 170,540,206,571.41
  5. Step 5: Solve for x
    x = 170,540,206,571.41/467,977.84
  6. Step 6: Final answer
    x = 364,419.41

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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.