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Finding the Fourth Proportional to 314,735.90, 434,329.88 and 171,496.94

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Solution

The fourth proportional to 314,735.90, 434,329.88 and 171,496.94 is: 236,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,735.90 : 434,329.88 = 171,496.94 : x
  2. Step 2: Convert to fraction form
    314,735.90/434,329.88 = 171,496.94/x
  3. Step 3: Cross multiply
    314,735.90x = 434,329.88 × 171,496.94
  4. Step 4: Simplify right side
    314,735.90x = 74,486,245,370.57
  5. Step 5: Solve for x
    x = 74,486,245,370.57/314,735.90
  6. Step 6: Final answer
    x = 236,662.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.