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Finding the Fourth Proportional to 407,527.90, 611,583.45 and 171,040.30

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Solution

The fourth proportional to 407,527.90, 611,583.45 and 171,040.30 is: 256,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,527.90 : 611,583.45 = 171,040.30 : x
  2. Step 2: Convert to fraction form
    407,527.90/611,583.45 = 171,040.30/x
  3. Step 3: Cross multiply
    407,527.90x = 611,583.45 × 171,040.30
  4. Step 4: Simplify right side
    407,527.90x = 104,605,416,763.04
  5. Step 5: Solve for x
    x = 104,605,416,763.04/407,527.90
  6. Step 6: Final answer
    x = 256,682.84

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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.