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Finding the Fourth Proportional to 461,264.09, 636,530.01 and 270,404.60

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Solution

The fourth proportional to 461,264.09, 636,530.01 and 270,404.60 is: 373,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,264.09 : 636,530.01 = 270,404.60 : x
  2. Step 2: Convert to fraction form
    461,264.09/636,530.01 = 270,404.60/x
  3. Step 3: Cross multiply
    461,264.09x = 636,530.01 × 270,404.60
  4. Step 4: Simplify right side
    461,264.09x = 172,120,642,742.05
  5. Step 5: Solve for x
    x = 172,120,642,742.05/461,264.09
  6. Step 6: Final answer
    x = 373,149.89

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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.