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Finding the Fourth Proportional to 635,210.82, 952,810.62 and 280,225.14

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Solution

The fourth proportional to 635,210.82, 952,810.62 and 280,225.14 is: 420,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,210.82 : 952,810.62 = 280,225.14 : x
  2. Step 2: Convert to fraction form
    635,210.82/952,810.62 = 280,225.14/x
  3. Step 3: Cross multiply
    635,210.82x = 952,810.62 × 280,225.14
  4. Step 4: Simplify right side
    635,210.82x = 267,001,489,382.99
  5. Step 5: Solve for x
    x = 267,001,489,382.99/635,210.82
  6. Step 6: Final answer
    x = 420,335.24

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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.