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Finding the Fourth Proportional to 416,114.72, 574,228.44 and 234,821.84

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Solution

The fourth proportional to 416,114.72, 574,228.44 and 234,821.84 is: 324,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,114.72 : 574,228.44 = 234,821.84 : x
  2. Step 2: Convert to fraction form
    416,114.72/574,228.44 = 234,821.84/x
  3. Step 3: Cross multiply
    416,114.72x = 574,228.44 × 234,821.84
  4. Step 4: Simplify right side
    416,114.72x = 134,841,375,989.99
  5. Step 5: Solve for x
    x = 134,841,375,989.99/416,114.72
  6. Step 6: Final answer
    x = 324,048.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.