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Finding the Fourth Proportional to 287,426.34, 431,142.03 and 100,438.26

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Solution

The fourth proportional to 287,426.34, 431,142.03 and 100,438.26 is: 150,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,426.34 : 431,142.03 = 100,438.26 : x
  2. Step 2: Convert to fraction form
    287,426.34/431,142.03 = 100,438.26/x
  3. Step 3: Cross multiply
    287,426.34x = 431,142.03 × 100,438.26
  4. Step 4: Simplify right side
    287,426.34x = 43,303,155,306.07
  5. Step 5: Solve for x
    x = 43,303,155,306.07/287,426.34
  6. Step 6: Final answer
    x = 150,658.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.