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Finding the Fourth Proportional to 686,003.06, 946,607.35 and 380,002.88

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Solution

The fourth proportional to 686,003.06, 946,607.35 and 380,002.88 is: 524,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,003.06 : 946,607.35 = 380,002.88 : x
  2. Step 2: Convert to fraction form
    686,003.06/946,607.35 = 380,002.88/x
  3. Step 3: Cross multiply
    686,003.06x = 946,607.35 × 380,002.88
  4. Step 4: Simplify right side
    686,003.06x = 359,713,519,229.17
  5. Step 5: Solve for x
    x = 359,713,519,229.17/686,003.06
  6. Step 6: Final answer
    x = 524,361.39

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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.