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Finding the Fourth Proportional to 482,178.16, 722,858.82 and 294,796

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Solution

The fourth proportional to 482,178.16, 722,858.82 and 294,796 is: 441,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,178.16 : 722,858.82 = 294,796 : x
  2. Step 2: Convert to fraction form
    482,178.16/722,858.82 = 294,796/x
  3. Step 3: Cross multiply
    482,178.16x = 722,858.82 × 294,796
  4. Step 4: Simplify right side
    482,178.16x = 213,095,888,700.72
  5. Step 5: Solve for x
    x = 213,095,888,700.72/482,178.16
  6. Step 6: Final answer
    x = 441,944.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.