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Finding the Fourth Proportional to 705,310.83, 973,626.89 and 476,178.46

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Solution

The fourth proportional to 705,310.83, 973,626.89 and 476,178.46 is: 657,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,310.83 : 973,626.89 = 476,178.46 : x
  2. Step 2: Convert to fraction form
    705,310.83/973,626.89 = 476,178.46/x
  3. Step 3: Cross multiply
    705,310.83x = 973,626.89 × 476,178.46
  4. Step 4: Simplify right side
    705,310.83x = 463,620,148,279.83
  5. Step 5: Solve for x
    x = 463,620,148,279.83/705,310.83
  6. Step 6: Final answer
    x = 657,327.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.