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Finding the Fourth Proportional to 314,900.48, 434,550.24 and 171,657.44

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Solution

The fourth proportional to 314,900.48, 434,550.24 and 171,657.44 is: 236,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,900.48 : 434,550.24 = 171,657.44 : x
  2. Step 2: Convert to fraction form
    314,900.48/434,550.24 = 171,657.44/x
  3. Step 3: Cross multiply
    314,900.48x = 434,550.24 × 171,657.44
  4. Step 4: Simplify right side
    314,900.48x = 74,593,781,749.79
  5. Step 5: Solve for x
    x = 74,593,781,749.79/314,900.48
  6. Step 6: Final answer
    x = 236,880.50

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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.