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Finding the Fourth Proportional to 825,707, 1,238,768.66 and 234,731

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Solution

The fourth proportional to 825,707, 1,238,768.66 and 234,731 is: 352,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,707 : 1,238,768.66 = 234,731 : x
  2. Step 2: Convert to fraction form
    825,707/1,238,768.66 = 234,731/x
  3. Step 3: Cross multiply
    825,707x = 1,238,768.66 × 234,731
  4. Step 4: Simplify right side
    825,707x = 290,777,406,330.46
  5. Step 5: Solve for x
    x = 290,777,406,330.46/825,707
  6. Step 6: Final answer
    x = 352,155.68

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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.