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Finding the Fourth Proportional to 362,598.64, 543,895.68 and 140,982.64

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Solution

The fourth proportional to 362,598.64, 543,895.68 and 140,982.64 is: 211,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,598.64 : 543,895.68 = 140,982.64 : x
  2. Step 2: Convert to fraction form
    362,598.64/543,895.68 = 140,982.64/x
  3. Step 3: Cross multiply
    362,598.64x = 543,895.68 × 140,982.64
  4. Step 4: Simplify right side
    362,598.64x = 76,679,848,851.00
  5. Step 5: Solve for x
    x = 76,679,848,851.00/362,598.64
  6. Step 6: Final answer
    x = 211,473.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.