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Finding the Fourth Proportional to 285,348.30, 428,197.41 and 127,710.06

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Solution

The fourth proportional to 285,348.30, 428,197.41 and 127,710.06 is: 191,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,348.30 : 428,197.41 = 127,710.06 : x
  2. Step 2: Convert to fraction form
    285,348.30/428,197.41 = 127,710.06/x
  3. Step 3: Cross multiply
    285,348.30x = 428,197.41 × 127,710.06
  4. Step 4: Simplify right side
    285,348.30x = 54,685,116,922.94
  5. Step 5: Solve for x
    x = 54,685,116,922.94/285,348.30
  6. Step 6: Final answer
    x = 191,643.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.