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Finding the Fourth Proportional to 538,564.11, 743,174.78 and 312,224.19

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Solution

The fourth proportional to 538,564.11, 743,174.78 and 312,224.19 is: 430,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,564.11 : 743,174.78 = 312,224.19 : x
  2. Step 2: Convert to fraction form
    538,564.11/743,174.78 = 312,224.19/x
  3. Step 3: Cross multiply
    538,564.11x = 743,174.78 × 312,224.19
  4. Step 4: Simplify right side
    538,564.11x = 232,037,142,152.81
  5. Step 5: Solve for x
    x = 232,037,142,152.81/538,564.11
  6. Step 6: Final answer
    x = 430,844.05

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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.