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Finding the Fourth Proportional to 457,241.30, 631,301.09 and 285,420.86

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Solution

The fourth proportional to 457,241.30, 631,301.09 and 285,420.86 is: 394,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,241.30 : 631,301.09 = 285,420.86 : x
  2. Step 2: Convert to fraction form
    457,241.30/631,301.09 = 285,420.86/x
  3. Step 3: Cross multiply
    457,241.30x = 631,301.09 × 285,420.86
  4. Step 4: Simplify right side
    457,241.30x = 180,186,500,026.74
  5. Step 5: Solve for x
    x = 180,186,500,026.74/457,241.30
  6. Step 6: Final answer
    x = 394,073.11

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