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Finding the Fourth Proportional to 467,771.40, 701,663.50 and 152,229.96

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Solution

The fourth proportional to 467,771.40, 701,663.50 and 152,229.96 is: 228,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,771.40 : 701,663.50 = 152,229.96 : x
  2. Step 2: Convert to fraction form
    467,771.40/701,663.50 = 152,229.96/x
  3. Step 3: Cross multiply
    467,771.40x = 701,663.50 × 152,229.96
  4. Step 4: Simplify right side
    467,771.40x = 106,814,206,538.46
  5. Step 5: Solve for x
    x = 106,814,206,538.46/467,771.40
  6. Step 6: Final answer
    x = 228,347.02

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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.