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Finding the Fourth Proportional to 704,222.64, 971,824.44 and 381,931.44

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Solution

The fourth proportional to 704,222.64, 971,824.44 and 381,931.44 is: 527,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,222.64 : 971,824.44 = 381,931.44 : x
  2. Step 2: Convert to fraction form
    704,222.64/971,824.44 = 381,931.44/x
  3. Step 3: Cross multiply
    704,222.64x = 971,824.44 × 381,931.44
  4. Step 4: Simplify right side
    704,222.64x = 371,170,307,796.39
  5. Step 5: Solve for x
    x = 371,170,307,796.39/704,222.64
  6. Step 6: Final answer
    x = 527,063.87

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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.