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Finding the Fourth Proportional to 413,007.42, 570,150.45 and 276,991.68

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Solution

The fourth proportional to 413,007.42, 570,150.45 and 276,991.68 is: 382,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,007.42 : 570,150.45 = 276,991.68 : x
  2. Step 2: Convert to fraction form
    413,007.42/570,150.45 = 276,991.68/x
  3. Step 3: Cross multiply
    413,007.42x = 570,150.45 × 276,991.68
  4. Step 4: Simplify right side
    413,007.42x = 157,926,930,998.26
  5. Step 5: Solve for x
    x = 157,926,930,998.26/413,007.42
  6. Step 6: Final answer
    x = 382,382.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.