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Finding the Fourth Proportional to 324,103.36, 447,261.96 and 180,854.86

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Solution

The fourth proportional to 324,103.36, 447,261.96 and 180,854.86 is: 249,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,103.36 : 447,261.96 = 180,854.86 : x
  2. Step 2: Convert to fraction form
    324,103.36/447,261.96 = 180,854.86/x
  3. Step 3: Cross multiply
    324,103.36x = 447,261.96 × 180,854.86
  4. Step 4: Simplify right side
    324,103.36x = 80,889,499,159.13
  5. Step 5: Solve for x
    x = 80,889,499,159.13/324,103.36
  6. Step 6: Final answer
    x = 249,579.33

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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.