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Finding the Fourth Proportional to 457,186.86, 630,863.98 and 263,592.41

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Solution

The fourth proportional to 457,186.86, 630,863.98 and 263,592.41 is: 363,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,186.86 : 630,863.98 = 263,592.41 : x
  2. Step 2: Convert to fraction form
    457,186.86/630,863.98 = 263,592.41/x
  3. Step 3: Cross multiply
    457,186.86x = 630,863.98 × 263,592.41
  4. Step 4: Simplify right side
    457,186.86x = 166,290,953,057.09
  5. Step 5: Solve for x
    x = 166,290,953,057.09/457,186.86
  6. Step 6: Final answer
    x = 363,726.45

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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.