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Finding the Fourth Proportional to 407,813.60, 611,939.10 and 171,180.20

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Solution

The fourth proportional to 407,813.60, 611,939.10 and 171,180.20 is: 256,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,813.60 : 611,939.10 = 171,180.20 : x
  2. Step 2: Convert to fraction form
    407,813.60/611,939.10 = 171,180.20/x
  3. Step 3: Cross multiply
    407,813.60x = 611,939.10 × 171,180.20
  4. Step 4: Simplify right side
    407,813.60x = 104,751,857,525.82
  5. Step 5: Solve for x
    x = 104,751,857,525.82/407,813.60
  6. Step 6: Final answer
    x = 256,862.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.