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Finding the Fourth Proportional to 547,605.34, 755,646.12 and 305,854.36

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Solution

The fourth proportional to 547,605.34, 755,646.12 and 305,854.36 is: 422,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,605.34 : 755,646.12 = 305,854.36 : x
  2. Step 2: Convert to fraction form
    547,605.34/755,646.12 = 305,854.36/x
  3. Step 3: Cross multiply
    547,605.34x = 755,646.12 × 305,854.36
  4. Step 4: Simplify right side
    547,605.34x = 231,117,660,419.08
  5. Step 5: Solve for x
    x = 231,117,660,419.08/547,605.34
  6. Step 6: Final answer
    x = 422,051.51

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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.