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Finding the Fourth Proportional to 597,785.94, 896,483.88 and 198,319.46

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Solution

The fourth proportional to 597,785.94, 896,483.88 and 198,319.46 is: 297,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,785.94 : 896,483.88 = 198,319.46 : x
  2. Step 2: Convert to fraction form
    597,785.94/896,483.88 = 198,319.46/x
  3. Step 3: Cross multiply
    597,785.94x = 896,483.88 × 198,319.46
  4. Step 4: Simplify right side
    597,785.94x = 177,790,194,497.89
  5. Step 5: Solve for x
    x = 177,790,194,497.89/597,785.94
  6. Step 6: Final answer
    x = 297,414.48

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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.