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Finding the Fourth Proportional to 416,135.12, 574,224.84 and 234,830.80

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Solution

The fourth proportional to 416,135.12, 574,224.84 and 234,830.80 is: 324,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,135.12 : 574,224.84 = 234,830.80 : x
  2. Step 2: Convert to fraction form
    416,135.12/574,224.84 = 234,830.80/x
  3. Step 3: Cross multiply
    416,135.12x = 574,224.84 × 234,830.80
  4. Step 4: Simplify right side
    416,135.12x = 134,845,678,557.07
  5. Step 5: Solve for x
    x = 134,845,678,557.07/416,135.12
  6. Step 6: Final answer
    x = 324,043.01

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