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Finding the Fourth Proportional to 379,851.84, 524,162.88 and 210,043.44

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Solution

The fourth proportional to 379,851.84, 524,162.88 and 210,043.44 is: 289,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,851.84 : 524,162.88 = 210,043.44 : x
  2. Step 2: Convert to fraction form
    379,851.84/524,162.88 = 210,043.44/x
  3. Step 3: Cross multiply
    379,851.84x = 524,162.88 × 210,043.44
  4. Step 4: Simplify right side
    379,851.84x = 110,096,974,435.51
  5. Step 5: Solve for x
    x = 110,096,974,435.51/379,851.84
  6. Step 6: Final answer
    x = 289,841.89

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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.