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Finding the Fourth Proportional to 460,048.97, 634,823.03 and 339,255.29

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Solution

The fourth proportional to 460,048.97, 634,823.03 and 339,255.29 is: 468,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,048.97 : 634,823.03 = 339,255.29 : x
  2. Step 2: Convert to fraction form
    460,048.97/634,823.03 = 339,255.29/x
  3. Step 3: Cross multiply
    460,048.97x = 634,823.03 × 339,255.29
  4. Step 4: Simplify right side
    460,048.97x = 215,367,066,270.94
  5. Step 5: Solve for x
    x = 215,367,066,270.94/460,048.97
  6. Step 6: Final answer
    x = 468,139.44

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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.