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Finding the Fourth Proportional to 461,703.70, 637,042.89 and 280,410.58

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Solution

The fourth proportional to 461,703.70, 637,042.89 and 280,410.58 is: 386,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,703.70 : 637,042.89 = 280,410.58 : x
  2. Step 2: Convert to fraction form
    461,703.70/637,042.89 = 280,410.58/x
  3. Step 3: Cross multiply
    461,703.70x = 637,042.89 × 280,410.58
  4. Step 4: Simplify right side
    461,703.70x = 178,633,566,269.78
  5. Step 5: Solve for x
    x = 178,633,566,269.78/461,703.70
  6. Step 6: Final answer
    x = 386,900.88

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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.