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Finding the Fourth Proportional to 493,675.38, 681,258.30 and 292,471.38

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Solution

The fourth proportional to 493,675.38, 681,258.30 and 292,471.38 is: 403,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,675.38 : 681,258.30 = 292,471.38 : x
  2. Step 2: Convert to fraction form
    493,675.38/681,258.30 = 292,471.38/x
  3. Step 3: Cross multiply
    493,675.38x = 681,258.30 × 292,471.38
  4. Step 4: Simplify right side
    493,675.38x = 199,248,555,137.45
  5. Step 5: Solve for x
    x = 199,248,555,137.45/493,675.38
  6. Step 6: Final answer
    x = 403,602.37

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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.