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Finding the Fourth Proportional to 386,696, 533,640.64 and 235,824.32

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Solution

The fourth proportional to 386,696, 533,640.64 and 235,824.32 is: 325,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,696 : 533,640.64 = 235,824.32 : x
  2. Step 2: Convert to fraction form
    386,696/533,640.64 = 235,824.32/x
  3. Step 3: Cross multiply
    386,696x = 533,640.64 × 235,824.32
  4. Step 4: Simplify right side
    386,696x = 125,845,441,052.37
  5. Step 5: Solve for x
    x = 125,845,441,052.37/386,696
  6. Step 6: Final answer
    x = 325,437.66

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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.