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Finding the Fourth Proportional to 769,808.64, 1,062,339.84 and 430,269.60

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Solution

The fourth proportional to 769,808.64, 1,062,339.84 and 430,269.60 is: 593,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,808.64 : 1,062,339.84 = 430,269.60 : x
  2. Step 2: Convert to fraction form
    769,808.64/1,062,339.84 = 430,269.60/x
  3. Step 3: Cross multiply
    769,808.64x = 1,062,339.84 × 430,269.60
  4. Step 4: Simplify right side
    769,808.64x = 457,092,538,020.86
  5. Step 5: Solve for x
    x = 457,092,538,020.86/769,808.64
  6. Step 6: Final answer
    x = 593,774.24

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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.