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Finding the Fourth Proportional to 657,185.85, 985,354.84 and 257,866.96

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Solution

The fourth proportional to 657,185.85, 985,354.84 and 257,866.96 is: 386,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,185.85 : 985,354.84 = 257,866.96 : x
  2. Step 2: Convert to fraction form
    657,185.85/985,354.84 = 257,866.96/x
  3. Step 3: Cross multiply
    657,185.85x = 985,354.84 × 257,866.96
  4. Step 4: Simplify right side
    657,185.85x = 254,090,457,112.09
  5. Step 5: Solve for x
    x = 254,090,457,112.09/657,185.85
  6. Step 6: Final answer
    x = 386,634.10

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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.