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Finding the Fourth Proportional to 493,672.38, 681,254.16 and 292,468.38

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Solution

The fourth proportional to 493,672.38, 681,254.16 and 292,468.38 is: 403,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,672.38 : 681,254.16 = 292,468.38 : x
  2. Step 2: Convert to fraction form
    493,672.38/681,254.16 = 292,468.38/x
  3. Step 3: Cross multiply
    493,672.38x = 681,254.16 × 292,468.38
  4. Step 4: Simplify right side
    493,672.38x = 199,245,300,543.46
  5. Step 5: Solve for x
    x = 199,245,300,543.46/493,672.38
  6. Step 6: Final answer
    x = 403,598.23

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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.