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Finding the Fourth Proportional to 704,124.82, 971,692.52 and 381,834.83

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Solution

The fourth proportional to 704,124.82, 971,692.52 and 381,834.83 is: 526,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,124.82 : 971,692.52 = 381,834.83 : x
  2. Step 2: Convert to fraction form
    704,124.82/971,692.52 = 381,834.83/x
  3. Step 3: Cross multiply
    704,124.82x = 971,692.52 × 381,834.83
  4. Step 4: Simplify right side
    704,124.82x = 371,026,048,706.53
  5. Step 5: Solve for x
    x = 371,026,048,706.53/704,124.82
  6. Step 6: Final answer
    x = 526,932.21

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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.