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Finding the Fourth Proportional to 510,083.94, 703,976.49 and 292,370.52

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Solution

The fourth proportional to 510,083.94, 703,976.49 and 292,370.52 is: 403,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,083.94 : 703,976.49 = 292,370.52 : x
  2. Step 2: Convert to fraction form
    510,083.94/703,976.49 = 292,370.52/x
  3. Step 3: Cross multiply
    510,083.94x = 703,976.49 × 292,370.52
  4. Step 4: Simplify right side
    510,083.94x = 205,821,972,449.08
  5. Step 5: Solve for x
    x = 205,821,972,449.08/510,083.94
  6. Step 6: Final answer
    x = 403,506.08

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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.