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Finding the Fourth Proportional to 469,415.84, 647,794.02 and 254,555.84

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Solution

The fourth proportional to 469,415.84, 647,794.02 and 254,555.84 is: 351,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,415.84 : 647,794.02 = 254,555.84 : x
  2. Step 2: Convert to fraction form
    469,415.84/647,794.02 = 254,555.84/x
  3. Step 3: Cross multiply
    469,415.84x = 647,794.02 × 254,555.84
  4. Step 4: Simplify right side
    469,415.84x = 164,899,747,669.11
  5. Step 5: Solve for x
    x = 164,899,747,669.11/469,415.84
  6. Step 6: Final answer
    x = 351,287.14

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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.