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Finding the Fourth Proportional to 405,600.56, 607,971.81 and 152,771.66

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Solution

The fourth proportional to 405,600.56, 607,971.81 and 152,771.66 is: 228,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,600.56 : 607,971.81 = 152,771.66 : x
  2. Step 2: Convert to fraction form
    405,600.56/607,971.81 = 152,771.66/x
  3. Step 3: Cross multiply
    405,600.56x = 607,971.81 × 152,771.66
  4. Step 4: Simplify right side
    405,600.56x = 92,880,859,607.05
  5. Step 5: Solve for x
    x = 92,880,859,607.05/405,600.56
  6. Step 6: Final answer
    x = 228,995.89

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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.