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Finding the Fourth Proportional to 416,146.90, 574,284.70 and 234,866.48

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Solution

The fourth proportional to 416,146.90, 574,284.70 and 234,866.48 is: 324,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,146.90 : 574,284.70 = 234,866.48 : x
  2. Step 2: Convert to fraction form
    416,146.90/574,284.70 = 234,866.48/x
  3. Step 3: Cross multiply
    416,146.90x = 574,284.70 × 234,866.48
  4. Step 4: Simplify right side
    416,146.90x = 134,880,226,006.86
  5. Step 5: Solve for x
    x = 134,880,226,006.86/416,146.90
  6. Step 6: Final answer
    x = 324,116.86

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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.