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Finding the Fourth Proportional to 197,578.17, 296,414.19 and 64,458.45

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Solution

The fourth proportional to 197,578.17, 296,414.19 and 64,458.45 is: 96,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,578.17 : 296,414.19 = 64,458.45 : x
  2. Step 2: Convert to fraction form
    197,578.17/296,414.19 = 64,458.45/x
  3. Step 3: Cross multiply
    197,578.17x = 296,414.19 × 64,458.45
  4. Step 4: Simplify right side
    197,578.17x = 19,106,399,245.41
  5. Step 5: Solve for x
    x = 19,106,399,245.41/197,578.17
  6. Step 6: Final answer
    x = 96,702.99

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1.5x scale

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.