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Finding the Fourth Proportional to 404,350, 557,822.64 and 234,485.76

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Solution

The fourth proportional to 404,350, 557,822.64 and 234,485.76 is: 323,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,350 : 557,822.64 = 234,485.76 : x
  2. Step 2: Convert to fraction form
    404,350/557,822.64 = 234,485.76/x
  3. Step 3: Cross multiply
    404,350x = 557,822.64 × 234,485.76
  4. Step 4: Simplify right side
    404,350x = 130,801,465,685.61
  5. Step 5: Solve for x
    x = 130,801,465,685.61/404,350
  6. Step 6: Final answer
    x = 323,485.76

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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.