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Finding the Fourth Proportional to 1,786,999.42, 2,466,078.24 and 971,203.16

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Solution

The fourth proportional to 1,786,999.42, 2,466,078.24 and 971,203.16 is: 1,340,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,999.42 : 2,466,078.24 = 971,203.16 : x
  2. Step 2: Convert to fraction form
    1,786,999.42/2,466,078.24 = 971,203.16/x
  3. Step 3: Cross multiply
    1,786,999.42x = 2,466,078.24 × 971,203.16
  4. Step 4: Simplify right side
    1,786,999.42x = 2,395,062,979,495.24
  5. Step 5: Solve for x
    x = 2,395,062,979,495.24/1,786,999.42
  6. Step 6: Final answer
    x = 1,340,270.71

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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.