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Finding the Fourth Proportional to 538,673.21, 743,371.28 and 296,950.49

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Solution

The fourth proportional to 538,673.21, 743,371.28 and 296,950.49 is: 409,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,673.21 : 743,371.28 = 296,950.49 : x
  2. Step 2: Convert to fraction form
    538,673.21/743,371.28 = 296,950.49/x
  3. Step 3: Cross multiply
    538,673.21x = 743,371.28 × 296,950.49
  4. Step 4: Simplify right side
    538,673.21x = 220,744,460,646.32
  5. Step 5: Solve for x
    x = 220,744,460,646.32/538,673.21
  6. Step 6: Final answer
    x = 409,792.91

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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.