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Finding the Fourth Proportional to 409,657.50, 614,589.93 and 114,169.50

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Solution

The fourth proportional to 409,657.50, 614,589.93 and 114,169.50 is: 171,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,657.50 : 614,589.93 = 114,169.50 : x
  2. Step 2: Convert to fraction form
    409,657.50/614,589.93 = 114,169.50/x
  3. Step 3: Cross multiply
    409,657.50x = 614,589.93 × 114,169.50
  4. Step 4: Simplify right side
    409,657.50x = 70,167,425,013.14
  5. Step 5: Solve for x
    x = 70,167,425,013.14/409,657.50
  6. Step 6: Final answer
    x = 171,283.15

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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.