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Finding the Fourth Proportional to 474,712, 655,175.84 and 270,763.36

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Solution

The fourth proportional to 474,712, 655,175.84 and 270,763.36 is: 373,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,712 : 655,175.84 = 270,763.36 : x
  2. Step 2: Convert to fraction form
    474,712/655,175.84 = 270,763.36/x
  3. Step 3: Cross multiply
    474,712x = 655,175.84 × 270,763.36
  4. Step 4: Simplify right side
    474,712x = 177,397,611,829.22
  5. Step 5: Solve for x
    x = 177,397,611,829.22/474,712
  6. Step 6: Final answer
    x = 373,695.23

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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.