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Finding the Fourth Proportional to 465,724.45, 698,750.70 and 228,908.80

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Solution

The fourth proportional to 465,724.45, 698,750.70 and 228,908.80 is: 343,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,724.45 : 698,750.70 = 228,908.80 : x
  2. Step 2: Convert to fraction form
    465,724.45/698,750.70 = 228,908.80/x
  3. Step 3: Cross multiply
    465,724.45x = 698,750.70 × 228,908.80
  4. Step 4: Simplify right side
    465,724.45x = 159,950,184,236.16
  5. Step 5: Solve for x
    x = 159,950,184,236.16/465,724.45
  6. Step 6: Final answer
    x = 343,443.82

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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.