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Finding the Fourth Proportional to 378,340.84, 567,116.70 and 141,580.36

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Solution

The fourth proportional to 378,340.84, 567,116.70 and 141,580.36 is: 212,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,340.84 : 567,116.70 = 141,580.36 : x
  2. Step 2: Convert to fraction form
    378,340.84/567,116.70 = 141,580.36/x
  3. Step 3: Cross multiply
    378,340.84x = 567,116.70 × 141,580.36
  4. Step 4: Simplify right side
    378,340.84x = 80,292,586,548.01
  5. Step 5: Solve for x
    x = 80,292,586,548.01/378,340.84
  6. Step 6: Final answer
    x = 212,222.89

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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.