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Finding the Fourth Proportional to 389,687, 537,768.06 and 210,839

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Solution

The fourth proportional to 389,687, 537,768.06 and 210,839 is: 290,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,687 : 537,768.06 = 210,839 : x
  2. Step 2: Convert to fraction form
    389,687/537,768.06 = 210,839/x
  3. Step 3: Cross multiply
    389,687x = 537,768.06 × 210,839
  4. Step 4: Simplify right side
    389,687x = 113,382,480,002.34
  5. Step 5: Solve for x
    x = 113,382,480,002.34/389,687
  6. Step 6: Final answer
    x = 290,957.82

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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.