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Finding the Fourth Proportional to 714,457.96, 985,963.15 and 392,197.43

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Solution

The fourth proportional to 714,457.96, 985,963.15 and 392,197.43 is: 541,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,457.96 : 985,963.15 = 392,197.43 : x
  2. Step 2: Convert to fraction form
    714,457.96/985,963.15 = 392,197.43/x
  3. Step 3: Cross multiply
    714,457.96x = 985,963.15 × 392,197.43
  4. Step 4: Simplify right side
    714,457.96x = 386,692,216,459.86
  5. Step 5: Solve for x
    x = 386,692,216,459.86/714,457.96
  6. Step 6: Final answer
    x = 541,238.59

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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.