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Finding the Fourth Proportional to 589,878, 884,820.24 and 146,646

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Solution

The fourth proportional to 589,878, 884,820.24 and 146,646 is: 219,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,878 : 884,820.24 = 146,646 : x
  2. Step 2: Convert to fraction form
    589,878/884,820.24 = 146,646/x
  3. Step 3: Cross multiply
    589,878x = 884,820.24 × 146,646
  4. Step 4: Simplify right side
    589,878x = 129,755,348,915.04
  5. Step 5: Solve for x
    x = 129,755,348,915.04/589,878
  6. Step 6: Final answer
    x = 219,969.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.