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Finding the Fourth Proportional to 484,851.16, 727,033.38 and 282,512.68

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Solution

The fourth proportional to 484,851.16, 727,033.38 and 282,512.68 is: 423,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,851.16 : 727,033.38 = 282,512.68 : x
  2. Step 2: Convert to fraction form
    484,851.16/727,033.38 = 282,512.68/x
  3. Step 3: Cross multiply
    484,851.16x = 727,033.38 × 282,512.68
  4. Step 4: Simplify right side
    484,851.16x = 205,396,148,633.26
  5. Step 5: Solve for x
    x = 205,396,148,633.26/484,851.16
  6. Step 6: Final answer
    x = 423,627.22

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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.