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Finding the Fourth Proportional to 769,667.64, 1,062,426.66 and 463,761

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Solution

The fourth proportional to 769,667.64, 1,062,426.66 and 463,761 is: 640,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,667.64 : 1,062,426.66 = 463,761 : x
  2. Step 2: Convert to fraction form
    769,667.64/1,062,426.66 = 463,761/x
  3. Step 3: Cross multiply
    769,667.64x = 1,062,426.66 × 463,761
  4. Step 4: Simplify right side
    769,667.64x = 492,712,050,268.26
  5. Step 5: Solve for x
    x = 492,712,050,268.26/769,667.64
  6. Step 6: Final answer
    x = 640,162.10

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Why These Related Problems?

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