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Finding the Fourth Proportional to 687,881.64, 949,263.34 and 381,942.22

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Solution

The fourth proportional to 687,881.64, 949,263.34 and 381,942.22 is: 527,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,881.64 : 949,263.34 = 381,942.22 : x
  2. Step 2: Convert to fraction form
    687,881.64/949,263.34 = 381,942.22/x
  3. Step 3: Cross multiply
    687,881.64x = 949,263.34 × 381,942.22
  4. Step 4: Simplify right side
    687,881.64x = 362,563,747,444.22
  5. Step 5: Solve for x
    x = 362,563,747,444.22/687,881.64
  6. Step 6: Final answer
    x = 527,072.87

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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.