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Finding the Fourth Proportional to 460,750.76, 691,437.53 and 161,233.94

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Solution

The fourth proportional to 460,750.76, 691,437.53 and 161,233.94 is: 241,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,750.76 : 691,437.53 = 161,233.94 : x
  2. Step 2: Convert to fraction form
    460,750.76/691,437.53 = 161,233.94/x
  3. Step 3: Cross multiply
    460,750.76x = 691,437.53 × 161,233.94
  4. Step 4: Simplify right side
    460,750.76x = 111,483,192,962.41
  5. Step 5: Solve for x
    x = 111,483,192,962.41/460,750.76
  6. Step 6: Final answer
    x = 241,959.87

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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.