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Finding the Fourth Proportional to 476,713.86, 657,869.04 and 261,858.72

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Solution

The fourth proportional to 476,713.86, 657,869.04 and 261,858.72 is: 361,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,713.86 : 657,869.04 = 261,858.72 : x
  2. Step 2: Convert to fraction form
    476,713.86/657,869.04 = 261,858.72/x
  3. Step 3: Cross multiply
    476,713.86x = 657,869.04 × 261,858.72
  4. Step 4: Simplify right side
    476,713.86x = 172,268,747,209.04
  5. Step 5: Solve for x
    x = 172,268,747,209.04/476,713.86
  6. Step 6: Final answer
    x = 361,367.19

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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.