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Finding the Fourth Proportional to 582,678, 874,017.27 and 161,957.52

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Solution

The fourth proportional to 582,678, 874,017.27 and 161,957.52 is: 242,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,678 : 874,017.27 = 161,957.52 : x
  2. Step 2: Convert to fraction form
    582,678/874,017.27 = 161,957.52/x
  3. Step 3: Cross multiply
    582,678x = 874,017.27 × 161,957.52
  4. Step 4: Simplify right side
    582,678x = 141,553,669,486.37
  5. Step 5: Solve for x
    x = 141,553,669,486.37/582,678
  6. Step 6: Final answer
    x = 242,936.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.