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Finding the Fourth Proportional to 257,809.60, 386,714.40 and 254,310.40

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Solution

The fourth proportional to 257,809.60, 386,714.40 and 254,310.40 is: 381,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,809.60 : 386,714.40 = 254,310.40 : x
  2. Step 2: Convert to fraction form
    257,809.60/386,714.40 = 254,310.40/x
  3. Step 3: Cross multiply
    257,809.60x = 386,714.40 × 254,310.40
  4. Step 4: Simplify right side
    257,809.60x = 98,345,493,749.76
  5. Step 5: Solve for x
    x = 98,345,493,749.76/257,809.60
  6. Step 6: Final answer
    x = 381,465.60

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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.