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Finding the Fourth Proportional to 314,433.27, 434,064.15 and 185,331.06

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Solution

The fourth proportional to 314,433.27, 434,064.15 and 185,331.06 is: 255,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,433.27 : 434,064.15 = 185,331.06 : x
  2. Step 2: Convert to fraction form
    314,433.27/434,064.15 = 185,331.06/x
  3. Step 3: Cross multiply
    314,433.27x = 434,064.15 × 185,331.06
  4. Step 4: Simplify right side
    314,433.27x = 80,445,569,027.50
  5. Step 5: Solve for x
    x = 80,445,569,027.50/314,433.27
  6. Step 6: Final answer
    x = 255,843.06

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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.