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Finding the Fourth Proportional to 349,428.38, 523,768.68 and 180,778.82

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Solution

The fourth proportional to 349,428.38, 523,768.68 and 180,778.82 is: 270,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,428.38 : 523,768.68 = 180,778.82 : x
  2. Step 2: Convert to fraction form
    349,428.38/523,768.68 = 180,778.82/x
  3. Step 3: Cross multiply
    349,428.38x = 523,768.68 × 180,778.82
  4. Step 4: Simplify right side
    349,428.38x = 94,686,281,304.51
  5. Step 5: Solve for x
    x = 94,686,281,304.51/349,428.38
  6. Step 6: Final answer
    x = 270,974.79

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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.