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Finding the Fourth Proportional to 657,103.80, 985,461.30 and 257,514.60

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Solution

The fourth proportional to 657,103.80, 985,461.30 and 257,514.60 is: 386,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,103.80 : 985,461.30 = 257,514.60 : x
  2. Step 2: Convert to fraction form
    657,103.80/985,461.30 = 257,514.60/x
  3. Step 3: Cross multiply
    657,103.80x = 985,461.30 × 257,514.60
  4. Step 4: Simplify right side
    657,103.80x = 253,770,672,484.98
  5. Step 5: Solve for x
    x = 253,770,672,484.98/657,103.80
  6. Step 6: Final answer
    x = 386,195.72

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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.