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Finding the Fourth Proportional to 416,146.41, 574,284 and 234,865.98

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Solution

The fourth proportional to 416,146.41, 574,284 and 234,865.98 is: 324,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,146.41 : 574,284 = 234,865.98 : x
  2. Step 2: Convert to fraction form
    416,146.41/574,284 = 234,865.98/x
  3. Step 3: Cross multiply
    416,146.41x = 574,284 × 234,865.98
  4. Step 4: Simplify right side
    416,146.41x = 134,879,774,458.32
  5. Step 5: Solve for x
    x = 134,879,774,458.32/416,146.41
  6. Step 6: Final answer
    x = 324,116.16

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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.