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Finding the Fourth Proportional to 508,100.48, 701,128.14 and 293,309.75

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Solution

The fourth proportional to 508,100.48, 701,128.14 and 293,309.75 is: 404,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,100.48 : 701,128.14 = 293,309.75 : x
  2. Step 2: Convert to fraction form
    508,100.48/701,128.14 = 293,309.75/x
  3. Step 3: Cross multiply
    508,100.48x = 701,128.14 × 293,309.75
  4. Step 4: Simplify right side
    508,100.48x = 205,647,715,955.72
  5. Step 5: Solve for x
    x = 205,647,715,955.72/508,100.48
  6. Step 6: Final answer
    x = 404,738.28

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1.5x scale

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.