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Finding the Fourth Proportional to 847,405.38, 1,169,408.49 and 465,407.57

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Solution

The fourth proportional to 847,405.38, 1,169,408.49 and 465,407.57 is: 642,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,405.38 : 1,169,408.49 = 465,407.57 : x
  2. Step 2: Convert to fraction form
    847,405.38/1,169,408.49 = 465,407.57/x
  3. Step 3: Cross multiply
    847,405.38x = 1,169,408.49 × 465,407.57
  4. Step 4: Simplify right side
    847,405.38x = 544,251,557,821.23
  5. Step 5: Solve for x
    x = 544,251,557,821.23/847,405.38
  6. Step 6: Final answer
    x = 642,256.43

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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.