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Finding the Fourth Proportional to 314,242.21, 433,663.38 and 171,011.49

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Solution

The fourth proportional to 314,242.21, 433,663.38 and 171,011.49 is: 236,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,242.21 : 433,663.38 = 171,011.49 : x
  2. Step 2: Convert to fraction form
    314,242.21/433,663.38 = 171,011.49/x
  3. Step 3: Cross multiply
    314,242.21x = 433,663.38 × 171,011.49
  4. Step 4: Simplify right side
    314,242.21x = 74,161,420,772.24
  5. Step 5: Solve for x
    x = 74,161,420,772.24/314,242.21
  6. Step 6: Final answer
    x = 236,000.82

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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.