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Finding the Fourth Proportional to 474,462.97, 655,029.59 and 313,784.08

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Solution

The fourth proportional to 474,462.97, 655,029.59 and 313,784.08 is: 433,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,462.97 : 655,029.59 = 313,784.08 : x
  2. Step 2: Convert to fraction form
    474,462.97/655,029.59 = 313,784.08/x
  3. Step 3: Cross multiply
    474,462.97x = 655,029.59 × 313,784.08
  4. Step 4: Simplify right side
    474,462.97x = 205,537,854,064.43
  5. Step 5: Solve for x
    x = 205,537,854,064.43/474,462.97
  6. Step 6: Final answer
    x = 433,201.05

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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.