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Finding the Fourth Proportional to 314,416.79, 433,897.16 and 171,178.31

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Solution

The fourth proportional to 314,416.79, 433,897.16 and 171,178.31 is: 236,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,416.79 : 433,897.16 = 171,178.31 : x
  2. Step 2: Convert to fraction form
    314,416.79/433,897.16 = 171,178.31/x
  3. Step 3: Cross multiply
    314,416.79x = 433,897.16 × 171,178.31
  4. Step 4: Simplify right side
    314,416.79x = 74,273,782,791.45
  5. Step 5: Solve for x
    x = 74,273,782,791.45/314,416.79
  6. Step 6: Final answer
    x = 236,227.15

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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.