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Finding the Fourth Proportional to 704,414.04, 971,981.82 and 462,793.56

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Solution

The fourth proportional to 704,414.04, 971,981.82 and 462,793.56 is: 638,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,414.04 : 971,981.82 = 462,793.56 : x
  2. Step 2: Convert to fraction form
    704,414.04/971,981.82 = 462,793.56/x
  3. Step 3: Cross multiply
    704,414.04x = 971,981.82 × 462,793.56
  4. Step 4: Simplify right side
    704,414.04x = 449,826,926,733.08
  5. Step 5: Solve for x
    x = 449,826,926,733.08/704,414.04
  6. Step 6: Final answer
    x = 638,583.14

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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.