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Finding the Fourth Proportional to 501,265.51, 691,682.39 and 286,419.49

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Solution

The fourth proportional to 501,265.51, 691,682.39 and 286,419.49 is: 395,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,265.51 : 691,682.39 = 286,419.49 : x
  2. Step 2: Convert to fraction form
    501,265.51/691,682.39 = 286,419.49/x
  3. Step 3: Cross multiply
    501,265.51x = 691,682.39 × 286,419.49
  4. Step 4: Simplify right side
    501,265.51x = 198,111,315,953.68
  5. Step 5: Solve for x
    x = 198,111,315,953.68/501,265.51
  6. Step 6: Final answer
    x = 395,222.32

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