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Finding the Fourth Proportional to 714,311.20, 985,780.20 and 427,776.40

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Solution

The fourth proportional to 714,311.20, 985,780.20 and 427,776.40 is: 590,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,311.20 : 985,780.20 = 427,776.40 : x
  2. Step 2: Convert to fraction form
    714,311.20/985,780.20 = 427,776.40/x
  3. Step 3: Cross multiply
    714,311.20x = 985,780.20 × 427,776.40
  4. Step 4: Simplify right side
    714,311.20x = 421,693,505,147.28
  5. Step 5: Solve for x
    x = 421,693,505,147.28/714,311.20
  6. Step 6: Final answer
    x = 590,349.84

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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.