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Finding the Fourth Proportional to 409,623.50, 614,538.93 and 114,135.50

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Solution

The fourth proportional to 409,623.50, 614,538.93 and 114,135.50 is: 171,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,623.50 : 614,538.93 = 114,135.50 : x
  2. Step 2: Convert to fraction form
    409,623.50/614,538.93 = 114,135.50/x
  3. Step 3: Cross multiply
    409,623.50x = 614,538.93 × 114,135.50
  4. Step 4: Simplify right side
    409,623.50x = 70,140,708,045.02
  5. Step 5: Solve for x
    x = 70,140,708,045.02/409,623.50
  6. Step 6: Final answer
    x = 171,232.14

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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.