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Finding the Fourth Proportional to 705,311.20, 973,627.42 and 476,178.86

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Solution

The fourth proportional to 705,311.20, 973,627.42 and 476,178.86 is: 657,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,311.20 : 973,627.42 = 476,178.86 : x
  2. Step 2: Convert to fraction form
    705,311.20/973,627.42 = 476,178.86/x
  3. Step 3: Cross multiply
    705,311.20x = 973,627.42 × 476,178.86
  4. Step 4: Simplify right side
    705,311.20x = 463,620,794,920.34
  5. Step 5: Solve for x
    x = 463,620,794,920.34/705,311.20
  6. Step 6: Final answer
    x = 657,327.99

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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.