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Finding the Fourth Proportional to 300,029.40, 413,845.50 and 192,429

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Solution

The fourth proportional to 300,029.40, 413,845.50 and 192,429 is: 265,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,029.40 : 413,845.50 = 192,429 : x
  2. Step 2: Convert to fraction form
    300,029.40/413,845.50 = 192,429/x
  3. Step 3: Cross multiply
    300,029.40x = 413,845.50 × 192,429
  4. Step 4: Simplify right side
    300,029.40x = 79,635,875,719.50
  5. Step 5: Solve for x
    x = 79,635,875,719.50/300,029.40
  6. Step 6: Final answer
    x = 265,426.91

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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.