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Finding the Fourth Proportional to 378,166.88, 521,881.23 and 208,411.94

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Solution

The fourth proportional to 378,166.88, 521,881.23 and 208,411.94 is: 287,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,166.88 : 521,881.23 = 208,411.94 : x
  2. Step 2: Convert to fraction form
    378,166.88/521,881.23 = 208,411.94/x
  3. Step 3: Cross multiply
    378,166.88x = 521,881.23 × 208,411.94
  4. Step 4: Simplify right side
    378,166.88x = 108,766,276,984.48
  5. Step 5: Solve for x
    x = 108,766,276,984.48/378,166.88
  6. Step 6: Final answer
    x = 287,614.50

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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.