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Finding the Fourth Proportional to 398,467.40, 596,894.70 and 248,246.60

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Solution

The fourth proportional to 398,467.40, 596,894.70 and 248,246.60 is: 371,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,467.40 : 596,894.70 = 248,246.60 : x
  2. Step 2: Convert to fraction form
    398,467.40/596,894.70 = 248,246.60/x
  3. Step 3: Cross multiply
    398,467.40x = 596,894.70 × 248,246.60
  4. Step 4: Simplify right side
    398,467.40x = 148,177,079,833.02
  5. Step 5: Solve for x
    x = 148,177,079,833.02/398,467.40
  6. Step 6: Final answer
    x = 371,867.51

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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.