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Finding the Fourth Proportional to 705,305.72, 973,619.83 and 476,173.36

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Solution

The fourth proportional to 705,305.72, 973,619.83 and 476,173.36 is: 657,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,305.72 : 973,619.83 = 476,173.36 : x
  2. Step 2: Convert to fraction form
    705,305.72/973,619.83 = 476,173.36/x
  3. Step 3: Cross multiply
    705,305.72x = 973,619.83 × 476,173.36
  4. Step 4: Simplify right side
    705,305.72x = 463,611,820,945.63
  5. Step 5: Solve for x
    x = 463,611,820,945.63/705,305.72
  6. Step 6: Final answer
    x = 657,320.38

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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.