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Finding the Fourth Proportional to 324,103.10, 486,592.05 and 257,618.30

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Solution

The fourth proportional to 324,103.10, 486,592.05 and 257,618.30 is: 386,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,103.10 : 486,592.05 = 257,618.30 : x
  2. Step 2: Convert to fraction form
    324,103.10/486,592.05 = 257,618.30/x
  3. Step 3: Cross multiply
    324,103.10x = 486,592.05 × 257,618.30
  4. Step 4: Simplify right side
    324,103.10x = 125,355,016,714.52
  5. Step 5: Solve for x
    x = 125,355,016,714.52/324,103.10
  6. Step 6: Final answer
    x = 386,775.12

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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.