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Finding the Fourth Proportional to 508,094.20, 701,119.42 and 293,303.48

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Solution

The fourth proportional to 508,094.20, 701,119.42 and 293,303.48 is: 404,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,094.20 : 701,119.42 = 293,303.48 : x
  2. Step 2: Convert to fraction form
    508,094.20/701,119.42 = 293,303.48/x
  3. Step 3: Cross multiply
    508,094.20x = 701,119.42 × 293,303.48
  4. Step 4: Simplify right side
    508,094.20x = 205,640,765,781.58
  5. Step 5: Solve for x
    x = 205,640,765,781.58/508,094.20
  6. Step 6: Final answer
    x = 404,729.61

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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.