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Finding the Fourth Proportional to 314,534.45, 434,062.76 and 171,297.29

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Solution

The fourth proportional to 314,534.45, 434,062.76 and 171,297.29 is: 236,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,534.45 : 434,062.76 = 171,297.29 : x
  2. Step 2: Convert to fraction form
    314,534.45/434,062.76 = 171,297.29/x
  3. Step 3: Cross multiply
    314,534.45x = 434,062.76 × 171,297.29
  4. Step 4: Simplify right side
    314,534.45x = 74,353,774,477.92
  5. Step 5: Solve for x
    x = 74,353,774,477.92/314,534.45
  6. Step 6: Final answer
    x = 236,393.10

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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.