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Finding the Fourth Proportional to 314,783.83, 434,389.05 and 171,540.80

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Solution

The fourth proportional to 314,783.83, 434,389.05 and 171,540.80 is: 236,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,783.83 : 434,389.05 = 171,540.80 : x
  2. Step 2: Convert to fraction form
    314,783.83/434,389.05 = 171,540.80/x
  3. Step 3: Cross multiply
    314,783.83x = 434,389.05 × 171,540.80
  4. Step 4: Simplify right side
    314,783.83x = 74,515,442,976.29
  5. Step 5: Solve for x
    x = 74,515,442,976.29/314,783.83
  6. Step 6: Final answer
    x = 236,719.41

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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.