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Finding the Fourth Proportional to 597,960, 896,943.24 and 154,728

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Solution

The fourth proportional to 597,960, 896,943.24 and 154,728 is: 232,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,960 : 896,943.24 = 154,728 : x
  2. Step 2: Convert to fraction form
    597,960/896,943.24 = 154,728/x
  3. Step 3: Cross multiply
    597,960x = 896,943.24 × 154,728
  4. Step 4: Simplify right side
    597,960x = 138,782,233,638.72
  5. Step 5: Solve for x
    x = 138,782,233,638.72/597,960
  6. Step 6: Final answer
    x = 232,092.84

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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.