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Finding the Fourth Proportional to 552,109.85, 761,906.99 and 310,393.49

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Solution

The fourth proportional to 552,109.85, 761,906.99 and 310,393.49 is: 428,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,109.85 : 761,906.99 = 310,393.49 : x
  2. Step 2: Convert to fraction form
    552,109.85/761,906.99 = 310,393.49/x
  3. Step 3: Cross multiply
    552,109.85x = 761,906.99 × 310,393.49
  4. Step 4: Simplify right side
    552,109.85x = 236,490,964,319.99
  5. Step 5: Solve for x
    x = 236,490,964,319.99/552,109.85
  6. Step 6: Final answer
    x = 428,340.42

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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.