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Finding the Fourth Proportional to 501,004.84, 691,372.36 and 286,140.48

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Solution

The fourth proportional to 501,004.84, 691,372.36 and 286,140.48 is: 394,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,004.84 : 691,372.36 = 286,140.48 : x
  2. Step 2: Convert to fraction form
    501,004.84/691,372.36 = 286,140.48/x
  3. Step 3: Cross multiply
    501,004.84x = 691,372.36 × 286,140.48
  4. Step 4: Simplify right side
    501,004.84x = 197,829,618,949.13
  5. Step 5: Solve for x
    x = 197,829,618,949.13/501,004.84
  6. Step 6: Final answer
    x = 394,865.68

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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.