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Finding the Fourth Proportional to 380,817.48, 571,264.15 and 140,995.50

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Solution

The fourth proportional to 380,817.48, 571,264.15 and 140,995.50 is: 211,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,817.48 : 571,264.15 = 140,995.50 : x
  2. Step 2: Convert to fraction form
    380,817.48/571,264.15 = 140,995.50/x
  3. Step 3: Cross multiply
    380,817.48x = 571,264.15 × 140,995.50
  4. Step 4: Simplify right side
    380,817.48x = 80,545,674,108.84
  5. Step 5: Solve for x
    x = 80,545,674,108.84/380,817.48
  6. Step 6: Final answer
    x = 211,507.29

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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.