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Finding the Fourth Proportional to 582,996, 874,494 and 162,282.84

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Solution

The fourth proportional to 582,996, 874,494 and 162,282.84 is: 243,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,996 : 874,494 = 162,282.84 : x
  2. Step 2: Convert to fraction form
    582,996/874,494 = 162,282.84/x
  3. Step 3: Cross multiply
    582,996x = 874,494 × 162,282.84
  4. Step 4: Simplify right side
    582,996x = 141,915,369,882.96
  5. Step 5: Solve for x
    x = 141,915,369,882.96/582,996
  6. Step 6: Final answer
    x = 243,424.26

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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.