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Finding the Fourth Proportional to 313,051.50, 469,577.25 and 146,839.50

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Solution

The fourth proportional to 313,051.50, 469,577.25 and 146,839.50 is: 220,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,051.50 : 469,577.25 = 146,839.50 : x
  2. Step 2: Convert to fraction form
    313,051.50/469,577.25 = 146,839.50/x
  3. Step 3: Cross multiply
    313,051.50x = 469,577.25 × 146,839.50
  4. Step 4: Simplify right side
    313,051.50x = 68,952,488,601.38
  5. Step 5: Solve for x
    x = 68,952,488,601.38/313,051.50
  6. Step 6: Final answer
    x = 220,259.25

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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.