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Finding the Fourth Proportional to 413,426.56, 570,662.40 and 267,975.68

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Solution

The fourth proportional to 413,426.56, 570,662.40 and 267,975.68 is: 369,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,426.56 : 570,662.40 = 267,975.68 : x
  2. Step 2: Convert to fraction form
    413,426.56/570,662.40 = 267,975.68/x
  3. Step 3: Cross multiply
    413,426.56x = 570,662.40 × 267,975.68
  4. Step 4: Simplify right side
    413,426.56x = 152,923,644,690.43
  5. Step 5: Solve for x
    x = 152,923,644,690.43/413,426.56
  6. Step 6: Final answer
    x = 369,893.13

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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.