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Finding the Fourth Proportional to 460,683.61, 691,123.82 and 161,173.96

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Solution

The fourth proportional to 460,683.61, 691,123.82 and 161,173.96 is: 241,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,683.61 : 691,123.82 = 161,173.96 : x
  2. Step 2: Convert to fraction form
    460,683.61/691,123.82 = 161,173.96/x
  3. Step 3: Cross multiply
    460,683.61x = 691,123.82 × 161,173.96
  4. Step 4: Simplify right side
    460,683.61x = 111,391,160,386.05
  5. Step 5: Solve for x
    x = 111,391,160,386.05/460,683.61
  6. Step 6: Final answer
    x = 241,795.36

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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.