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Finding the Fourth Proportional to 589,056, 883,584 and 145,824

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Solution

The fourth proportional to 589,056, 883,584 and 145,824 is: 218,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,056 : 883,584 = 145,824 : x
  2. Step 2: Convert to fraction form
    589,056/883,584 = 145,824/x
  3. Step 3: Cross multiply
    589,056x = 883,584 × 145,824
  4. Step 4: Simplify right side
    589,056x = 128,847,753,216
  5. Step 5: Solve for x
    x = 128,847,753,216/589,056
  6. Step 6: Final answer
    x = 218,736

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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.