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Finding the Fourth Proportional to 582,714, 874,071.27 and 161,993.52

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Solution

The fourth proportional to 582,714, 874,071.27 and 161,993.52 is: 242,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,714 : 874,071.27 = 161,993.52 : x
  2. Step 2: Convert to fraction form
    582,714/874,071.27 = 161,993.52/x
  3. Step 3: Cross multiply
    582,714x = 874,071.27 × 161,993.52
  4. Step 4: Simplify right side
    582,714x = 141,593,881,758.17
  5. Step 5: Solve for x
    x = 141,593,881,758.17/582,714
  6. Step 6: Final answer
    x = 242,990.36

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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.