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Finding the Fourth Proportional to 705,481.12, 973,571.84 and 415,156.87

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Solution

The fourth proportional to 705,481.12, 973,571.84 and 415,156.87 is: 572,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,481.12 : 973,571.84 = 415,156.87 : x
  2. Step 2: Convert to fraction form
    705,481.12/973,571.84 = 415,156.87/x
  3. Step 3: Cross multiply
    705,481.12x = 973,571.84 × 415,156.87
  4. Step 4: Simplify right side
    705,481.12x = 404,185,037,814.54
  5. Step 5: Solve for x
    x = 404,185,037,814.54/705,481.12
  6. Step 6: Final answer
    x = 572,921.13

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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.