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Finding the Fourth Proportional to 854,732.82, 1,179,452.02 and 472,751.40

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Solution

The fourth proportional to 854,732.82, 1,179,452.02 and 472,751.40 is: 652,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,732.82 : 1,179,452.02 = 472,751.40 : x
  2. Step 2: Convert to fraction form
    854,732.82/1,179,452.02 = 472,751.40/x
  3. Step 3: Cross multiply
    854,732.82x = 1,179,452.02 × 472,751.40
  4. Step 4: Simplify right side
    854,732.82x = 557,587,591,324.07
  5. Step 5: Solve for x
    x = 557,587,591,324.07/854,732.82
  6. Step 6: Final answer
    x = 652,353.08

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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.