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Finding the Fourth Proportional to 379,852.84, 524,164.26 and 210,044.44

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Solution

The fourth proportional to 379,852.84, 524,164.26 and 210,044.44 is: 289,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,852.84 : 524,164.26 = 210,044.44 : x
  2. Step 2: Convert to fraction form
    379,852.84/524,164.26 = 210,044.44/x
  3. Step 3: Cross multiply
    379,852.84x = 524,164.26 × 210,044.44
  4. Step 4: Simplify right side
    379,852.84x = 110,097,788,459.71
  5. Step 5: Solve for x
    x = 110,097,788,459.71/379,852.84
  6. Step 6: Final answer
    x = 289,843.27

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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.