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Finding the Fourth Proportional to 257,226.76, 355,096.14 and 171,328.68

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Solution

The fourth proportional to 257,226.76, 355,096.14 and 171,328.68 is: 236,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,226.76 : 355,096.14 = 171,328.68 : x
  2. Step 2: Convert to fraction form
    257,226.76/355,096.14 = 171,328.68/x
  3. Step 3: Cross multiply
    257,226.76x = 355,096.14 × 171,328.68
  4. Step 4: Simplify right side
    257,226.76x = 60,838,152,939.30
  5. Step 5: Solve for x
    x = 60,838,152,939.30/257,226.76
  6. Step 6: Final answer
    x = 236,515.64

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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.