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Finding the Fourth Proportional to 705,356.88, 973,690.32 and 476,224.56

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Solution

The fourth proportional to 705,356.88, 973,690.32 and 476,224.56 is: 657,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,356.88 : 973,690.32 = 476,224.56 : x
  2. Step 2: Convert to fraction form
    705,356.88/973,690.32 = 476,224.56/x
  3. Step 3: Cross multiply
    705,356.88x = 973,690.32 × 476,224.56
  4. Step 4: Simplify right side
    705,356.88x = 463,695,244,218.26
  5. Step 5: Solve for x
    x = 463,695,244,218.26/705,356.88
  6. Step 6: Final answer
    x = 657,390.97

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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.