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Finding the Fourth Proportional to 510,344.94, 763,645.16 and 425,896.64

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Solution

The fourth proportional to 510,344.94, 763,645.16 and 425,896.64 is: 637,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,344.94 : 763,645.16 = 425,896.64 : x
  2. Step 2: Convert to fraction form
    510,344.94/763,645.16 = 425,896.64/x
  3. Step 3: Cross multiply
    510,344.94x = 763,645.16 × 425,896.64
  4. Step 4: Simplify right side
    510,344.94x = 325,233,907,796.26
  5. Step 5: Solve for x
    x = 325,233,907,796.26/510,344.94
  6. Step 6: Final answer
    x = 637,282.52

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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.