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Finding the Fourth Proportional to 433,014.54, 649,507.23 and 152,524.50

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Solution

The fourth proportional to 433,014.54, 649,507.23 and 152,524.50 is: 228,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,014.54 : 649,507.23 = 152,524.50 : x
  2. Step 2: Convert to fraction form
    433,014.54/649,507.23 = 152,524.50/x
  3. Step 3: Cross multiply
    433,014.54x = 649,507.23 × 152,524.50
  4. Step 4: Simplify right side
    433,014.54x = 99,065,765,502.14
  5. Step 5: Solve for x
    x = 99,065,765,502.14/433,014.54
  6. Step 6: Final answer
    x = 228,781.61

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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.