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Finding the Fourth Proportional to 257,200.96, 354,782.40 and 169,986.40

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Solution

The fourth proportional to 257,200.96, 354,782.40 and 169,986.40 is: 234,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.96 : 354,782.40 = 169,986.40 : x
  2. Step 2: Convert to fraction form
    257,200.96/354,782.40 = 169,986.40/x
  3. Step 3: Cross multiply
    257,200.96x = 354,782.40 × 169,986.40
  4. Step 4: Simplify right side
    257,200.96x = 60,308,182,959.36
  5. Step 5: Solve for x
    x = 60,308,182,959.36/257,200.96
  6. Step 6: Final answer
    x = 234,478.84

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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.