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Finding the Fourth Proportional to 460,825.50, 635,939.19 and 248,857.50

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Solution

The fourth proportional to 460,825.50, 635,939.19 and 248,857.50 is: 343,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,825.50 : 635,939.19 = 248,857.50 : x
  2. Step 2: Convert to fraction form
    460,825.50/635,939.19 = 248,857.50/x
  3. Step 3: Cross multiply
    460,825.50x = 635,939.19 × 248,857.50
  4. Step 4: Simplify right side
    460,825.50x = 158,258,236,975.43
  5. Step 5: Solve for x
    x = 158,258,236,975.43/460,825.50
  6. Step 6: Final answer
    x = 343,423.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.