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Finding the Fourth Proportional to 323,206.84, 484,810.44 and 154,687.56

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Solution

The fourth proportional to 323,206.84, 484,810.44 and 154,687.56 is: 232,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,206.84 : 484,810.44 = 154,687.56 : x
  2. Step 2: Convert to fraction form
    323,206.84/484,810.44 = 154,687.56/x
  3. Step 3: Cross multiply
    323,206.84x = 484,810.44 × 154,687.56
  4. Step 4: Simplify right side
    323,206.84x = 74,994,144,026.13
  5. Step 5: Solve for x
    x = 74,994,144,026.13/323,206.84
  6. Step 6: Final answer
    x = 232,031.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.