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Finding the Fourth Proportional to 314,783.34, 434,388.34 and 171,540.30

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Solution

The fourth proportional to 314,783.34, 434,388.34 and 171,540.30 is: 236,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,783.34 : 434,388.34 = 171,540.30 : x
  2. Step 2: Convert to fraction form
    314,783.34/434,388.34 = 171,540.30/x
  3. Step 3: Cross multiply
    314,783.34x = 434,388.34 × 171,540.30
  4. Step 4: Simplify right side
    314,783.34x = 74,515,106,160.10
  5. Step 5: Solve for x
    x = 74,515,106,160.10/314,783.34
  6. Step 6: Final answer
    x = 236,718.71

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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.