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Finding the Fourth Proportional to 416,115.63, 574,239.38 and 234,865.58

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Solution

The fourth proportional to 416,115.63, 574,239.38 and 234,865.58 is: 324,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,115.63 : 574,239.38 = 234,865.58 : x
  2. Step 2: Convert to fraction form
    416,115.63/574,239.38 = 234,865.58/x
  3. Step 3: Cross multiply
    416,115.63x = 574,239.38 × 234,865.58
  4. Step 4: Simplify right side
    416,115.63x = 134,869,060,997.02
  5. Step 5: Solve for x
    x = 134,869,060,997.02/416,115.63
  6. Step 6: Final answer
    x = 324,114.38

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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.