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Finding the Fourth Proportional to 780,684, 1,077,344.64 and 422,988

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Solution

The fourth proportional to 780,684, 1,077,344.64 and 422,988 is: 583,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,684 : 1,077,344.64 = 422,988 : x
  2. Step 2: Convert to fraction form
    780,684/1,077,344.64 = 422,988/x
  3. Step 3: Cross multiply
    780,684x = 1,077,344.64 × 422,988
  4. Step 4: Simplify right side
    780,684x = 455,703,854,584.32
  5. Step 5: Solve for x
    x = 455,703,854,584.32/780,684
  6. Step 6: Final answer
    x = 583,723.83

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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.