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Finding the Fourth Proportional to 510,530.94, 704,598.75 and 292,824.54

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Solution

The fourth proportional to 510,530.94, 704,598.75 and 292,824.54 is: 404,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,530.94 : 704,598.75 = 292,824.54 : x
  2. Step 2: Convert to fraction form
    510,530.94/704,598.75 = 292,824.54/x
  3. Step 3: Cross multiply
    510,530.94x = 704,598.75 × 292,824.54
  4. Step 4: Simplify right side
    510,530.94x = 206,323,804,853.33
  5. Step 5: Solve for x
    x = 206,323,804,853.33/510,530.94
  6. Step 6: Final answer
    x = 404,135.75

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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.