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Finding the Fourth Proportional to 714,677.42, 986,256.76 and 392,408.40

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Solution

The fourth proportional to 714,677.42, 986,256.76 and 392,408.40 is: 541,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,677.42 : 986,256.76 = 392,408.40 : x
  2. Step 2: Convert to fraction form
    714,677.42/986,256.76 = 392,408.40/x
  3. Step 3: Cross multiply
    714,677.42x = 986,256.76 × 392,408.40
  4. Step 4: Simplify right side
    714,677.42x = 387,015,437,180.78
  5. Step 5: Solve for x
    x = 387,015,437,180.78/714,677.42
  6. Step 6: Final answer
    x = 541,524.65

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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.