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Finding the Fourth Proportional to 427,957.52, 590,412.93 and 274,972.82

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Solution

The fourth proportional to 427,957.52, 590,412.93 and 274,972.82 is: 379,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,957.52 : 590,412.93 = 274,972.82 : x
  2. Step 2: Convert to fraction form
    427,957.52/590,412.93 = 274,972.82/x
  3. Step 3: Cross multiply
    427,957.52x = 590,412.93 × 274,972.82
  4. Step 4: Simplify right side
    427,957.52x = 162,347,508,326.56
  5. Step 5: Solve for x
    x = 162,347,508,326.56/427,957.52
  6. Step 6: Final answer
    x = 379,354.26

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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.