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Finding the Fourth Proportional to 778,481, 1,167,721.50 and 187,505

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Solution

The fourth proportional to 778,481, 1,167,721.50 and 187,505 is: 281,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,481 : 1,167,721.50 = 187,505 : x
  2. Step 2: Convert to fraction form
    778,481/1,167,721.50 = 187,505/x
  3. Step 3: Cross multiply
    778,481x = 1,167,721.50 × 187,505
  4. Step 4: Simplify right side
    778,481x = 218,953,619,857.50
  5. Step 5: Solve for x
    x = 218,953,619,857.50/778,481
  6. Step 6: Final answer
    x = 281,257.50

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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.