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Finding the Fourth Proportional to 508,393.68, 701,581.14 and 282,039.18

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Solution

The fourth proportional to 508,393.68, 701,581.14 and 282,039.18 is: 389,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,393.68 : 701,581.14 = 282,039.18 : x
  2. Step 2: Convert to fraction form
    508,393.68/701,581.14 = 282,039.18/x
  3. Step 3: Cross multiply
    508,393.68x = 701,581.14 × 282,039.18
  4. Step 4: Simplify right side
    508,393.68x = 197,873,369,429.07
  5. Step 5: Solve for x
    x = 197,873,369,429.07/508,393.68
  6. Step 6: Final answer
    x = 389,212.88

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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.