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Finding the Fourth Proportional to 274,614, 378,973.08 and 155,382

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Solution

The fourth proportional to 274,614, 378,973.08 and 155,382 is: 214,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,614 : 378,973.08 = 155,382 : x
  2. Step 2: Convert to fraction form
    274,614/378,973.08 = 155,382/x
  3. Step 3: Cross multiply
    274,614x = 378,973.08 × 155,382
  4. Step 4: Simplify right side
    274,614x = 58,885,595,116.56
  5. Step 5: Solve for x
    x = 58,885,595,116.56/274,614
  6. Step 6: Final answer
    x = 214,430.42

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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.