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Finding the Fourth Proportional to 582,997, 874,495.50 and 162,283.84

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Solution

The fourth proportional to 582,997, 874,495.50 and 162,283.84 is: 243,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,997 : 874,495.50 = 162,283.84 : x
  2. Step 2: Convert to fraction form
    582,997/874,495.50 = 162,283.84/x
  3. Step 3: Cross multiply
    582,997x = 874,495.50 × 162,283.84
  4. Step 4: Simplify right side
    582,997x = 141,916,487,802.72
  5. Step 5: Solve for x
    x = 141,916,487,802.72/582,997
  6. Step 6: Final answer
    x = 243,425.76

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Similar ratio
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1.5x scale

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.