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Finding the Fourth Proportional to 307,200.24, 423,938.25 and 171,242.82

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Solution

The fourth proportional to 307,200.24, 423,938.25 and 171,242.82 is: 236,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,200.24 : 423,938.25 = 171,242.82 : x
  2. Step 2: Convert to fraction form
    307,200.24/423,938.25 = 171,242.82/x
  3. Step 3: Cross multiply
    307,200.24x = 423,938.25 × 171,242.82
  4. Step 4: Simplify right side
    307,200.24x = 72,596,381,435.87
  5. Step 5: Solve for x
    x = 72,596,381,435.87/307,200.24
  6. Step 6: Final answer
    x = 236,316.16

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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.