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Finding the Fourth Proportional to 472,353.97, 708,683.96 and 282,784.69

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Solution

The fourth proportional to 472,353.97, 708,683.96 and 282,784.69 is: 424,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,353.97 : 708,683.96 = 282,784.69 : x
  2. Step 2: Convert to fraction form
    472,353.97/708,683.96 = 282,784.69/x
  3. Step 3: Cross multiply
    472,353.97x = 708,683.96 × 282,784.69
  4. Step 4: Simplify right side
    472,353.97x = 200,404,973,936.57
  5. Step 5: Solve for x
    x = 200,404,973,936.57/472,353.97
  6. Step 6: Final answer
    x = 424,268.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.