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Finding the Fourth Proportional to 461,348.48, 636,705.44 and 280,018.64

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Solution

The fourth proportional to 461,348.48, 636,705.44 and 280,018.64 is: 386,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,348.48 : 636,705.44 = 280,018.64 : x
  2. Step 2: Convert to fraction form
    461,348.48/636,705.44 = 280,018.64/x
  3. Step 3: Cross multiply
    461,348.48x = 636,705.44 × 280,018.64
  4. Step 4: Simplify right side
    461,348.48x = 178,289,391,389.40
  5. Step 5: Solve for x
    x = 178,289,391,389.40/461,348.48
  6. Step 6: Final answer
    x = 386,452.76

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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.