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Finding the Fourth Proportional to 692,388, 955,380.02 and 462,576.83

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Solution

The fourth proportional to 692,388, 955,380.02 and 462,576.83 is: 638,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,388 : 955,380.02 = 462,576.83 : x
  2. Step 2: Convert to fraction form
    692,388/955,380.02 = 462,576.83/x
  3. Step 3: Cross multiply
    692,388x = 955,380.02 × 462,576.83
  4. Step 4: Simplify right side
    692,388x = 441,936,654,007.15
  5. Step 5: Solve for x
    x = 441,936,654,007.15/692,388
  6. Step 6: Final answer
    x = 638,278.90

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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.