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Finding the Fourth Proportional to 705,310.09, 973,625.86 and 476,177.73

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Solution

The fourth proportional to 705,310.09, 973,625.86 and 476,177.73 is: 657,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,310.09 : 973,625.86 = 476,177.73 : x
  2. Step 2: Convert to fraction form
    705,310.09/973,625.86 = 476,177.73/x
  3. Step 3: Cross multiply
    705,310.09x = 973,625.86 × 476,177.73
  4. Step 4: Simplify right side
    705,310.09x = 463,618,952,479.32
  5. Step 5: Solve for x
    x = 463,618,952,479.32/705,310.09
  6. Step 6: Final answer
    x = 657,326.41

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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.