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Finding the Fourth Proportional to 510,660.35, 765,595.83 and 257,810.68

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Solution

The fourth proportional to 510,660.35, 765,595.83 and 257,810.68 is: 386,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,660.35 : 765,595.83 = 257,810.68 : x
  2. Step 2: Convert to fraction form
    510,660.35/765,595.83 = 257,810.68/x
  3. Step 3: Cross multiply
    510,660.35x = 765,595.83 × 257,810.68
  4. Step 4: Simplify right side
    510,660.35x = 197,378,783,461.25
  5. Step 5: Solve for x
    x = 197,378,783,461.25/510,660.35
  6. Step 6: Final answer
    x = 386,516.76

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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.