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Finding the Fourth Proportional to 314,417.47, 433,903.91 and 171,185.37

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Solution

The fourth proportional to 314,417.47, 433,903.91 and 171,185.37 is: 236,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,417.47 : 433,903.91 = 171,185.37 : x
  2. Step 2: Convert to fraction form
    314,417.47/433,903.91 = 171,185.37/x
  3. Step 3: Cross multiply
    314,417.47x = 433,903.91 × 171,185.37
  4. Step 4: Simplify right side
    314,417.47x = 74,278,004,000.17
  5. Step 5: Solve for x
    x = 74,278,004,000.17/314,417.47
  6. Step 6: Final answer
    x = 236,240.06

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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.