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Finding the Fourth Proportional to 314,709.34, 434,293.38 and 171,470.42

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Solution

The fourth proportional to 314,709.34, 434,293.38 and 171,470.42 is: 236,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,709.34 : 434,293.38 = 171,470.42 : x
  2. Step 2: Convert to fraction form
    314,709.34/434,293.38 = 171,470.42/x
  3. Step 3: Cross multiply
    314,709.34x = 434,293.38 × 171,470.42
  4. Step 4: Simplify right side
    314,709.34x = 74,468,468,271.82
  5. Step 5: Solve for x
    x = 74,468,468,271.82/314,709.34
  6. Step 6: Final answer
    x = 236,626.18

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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.