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Finding the Fourth Proportional to 414,949.80, 623,007.90 and 257,485.80

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Solution

The fourth proportional to 414,949.80, 623,007.90 and 257,485.80 is: 386,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,949.80 : 623,007.90 = 257,485.80 : x
  2. Step 2: Convert to fraction form
    414,949.80/623,007.90 = 257,485.80/x
  3. Step 3: Cross multiply
    414,949.80x = 623,007.90 × 257,485.80
  4. Step 4: Simplify right side
    414,949.80x = 160,415,687,537.82
  5. Step 5: Solve for x
    x = 160,415,687,537.82/414,949.80
  6. Step 6: Final answer
    x = 386,590.59

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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.