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Finding the Fourth Proportional to 314,662.64, 434,232.30 and 171,422.78

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Solution

The fourth proportional to 314,662.64, 434,232.30 and 171,422.78 is: 236,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,662.64 : 434,232.30 = 171,422.78 : x
  2. Step 2: Convert to fraction form
    314,662.64/434,232.30 = 171,422.78/x
  3. Step 3: Cross multiply
    314,662.64x = 434,232.30 × 171,422.78
  4. Step 4: Simplify right side
    314,662.64x = 74,437,308,031.79
  5. Step 5: Solve for x
    x = 74,437,308,031.79/314,662.64
  6. Step 6: Final answer
    x = 236,562.27

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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.