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Finding the Fourth Proportional to 582,998, 874,497 and 162,284.84

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Solution

The fourth proportional to 582,998, 874,497 and 162,284.84 is: 243,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,998 : 874,497 = 162,284.84 : x
  2. Step 2: Convert to fraction form
    582,998/874,497 = 162,284.84/x
  3. Step 3: Cross multiply
    582,998x = 874,497 × 162,284.84
  4. Step 4: Simplify right side
    582,998x = 141,917,605,725.48
  5. Step 5: Solve for x
    x = 141,917,605,725.48/582,998
  6. Step 6: Final answer
    x = 243,427.26

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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.