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Finding the Fourth Proportional to 411,920.10, 616,843.35 and 270,915.30

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Solution

The fourth proportional to 411,920.10, 616,843.35 and 270,915.30 is: 405,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,920.10 : 616,843.35 = 270,915.30 : x
  2. Step 2: Convert to fraction form
    411,920.10/616,843.35 = 270,915.30/x
  3. Step 3: Cross multiply
    411,920.10x = 616,843.35 × 270,915.30
  4. Step 4: Simplify right side
    411,920.10x = 167,112,301,218.26
  5. Step 5: Solve for x
    x = 167,112,301,218.26/411,920.10
  6. Step 6: Final answer
    x = 405,691.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.