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Finding the Fourth Proportional to 310,261.50, 464,961.70 and 141,369.08

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Solution

The fourth proportional to 310,261.50, 464,961.70 and 141,369.08 is: 211,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,261.50 : 464,961.70 = 141,369.08 : x
  2. Step 2: Convert to fraction form
    310,261.50/464,961.70 = 141,369.08/x
  3. Step 3: Cross multiply
    310,261.50x = 464,961.70 × 141,369.08
  4. Step 4: Simplify right side
    310,261.50x = 65,731,207,764.24
  5. Step 5: Solve for x
    x = 65,731,207,764.24/310,261.50
  6. Step 6: Final answer
    x = 211,857.44

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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.