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Finding the Fourth Proportional to 467,768.40, 701,659 and 152,226.96

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Solution

The fourth proportional to 467,768.40, 701,659 and 152,226.96 is: 228,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,768.40 : 701,659 = 152,226.96 : x
  2. Step 2: Convert to fraction form
    467,768.40/701,659 = 152,226.96/x
  3. Step 3: Cross multiply
    467,768.40x = 701,659 × 152,226.96
  4. Step 4: Simplify right side
    467,768.40x = 106,811,416,526.64
  5. Step 5: Solve for x
    x = 106,811,416,526.64/467,768.40
  6. Step 6: Final answer
    x = 228,342.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.