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Finding the Fourth Proportional to 379,828.58, 524,142.24 and 207,712.58

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Solution

The fourth proportional to 379,828.58, 524,142.24 and 207,712.58 is: 286,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,828.58 : 524,142.24 = 207,712.58 : x
  2. Step 2: Convert to fraction form
    379,828.58/524,142.24 = 207,712.58/x
  3. Step 3: Cross multiply
    379,828.58x = 524,142.24 × 207,712.58
  4. Step 4: Simplify right side
    379,828.58x = 108,870,936,957.38
  5. Step 5: Solve for x
    x = 108,870,936,957.38/379,828.58
  6. Step 6: Final answer
    x = 286,631.77

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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.