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Finding the Fourth Proportional to 597,846.48, 896,574.69 and 198,380

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Solution

The fourth proportional to 597,846.48, 896,574.69 and 198,380 is: 297,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,846.48 : 896,574.69 = 198,380 : x
  2. Step 2: Convert to fraction form
    597,846.48/896,574.69 = 198,380/x
  3. Step 3: Cross multiply
    597,846.48x = 896,574.69 × 198,380
  4. Step 4: Simplify right side
    597,846.48x = 177,862,487,002.20
  5. Step 5: Solve for x
    x = 177,862,487,002.20/597,846.48
  6. Step 6: Final answer
    x = 297,505.28

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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.