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Finding the Fourth Proportional to 413,840.48, 620,506.67 and 160,825.53

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Solution

The fourth proportional to 413,840.48, 620,506.67 and 160,825.53 is: 241,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,840.48 : 620,506.67 = 160,825.53 : x
  2. Step 2: Convert to fraction form
    413,840.48/620,506.67 = 160,825.53/x
  3. Step 3: Cross multiply
    413,840.48x = 620,506.67 × 160,825.53
  4. Step 4: Simplify right side
    413,840.48x = 99,793,315,594.06
  5. Step 5: Solve for x
    x = 99,793,315,594.06/413,840.48
  6. Step 6: Final answer
    x = 241,139.57

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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.