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Finding the Fourth Proportional to 547,737.40, 821,606.10 and 489,676.60

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Solution

The fourth proportional to 547,737.40, 821,606.10 and 489,676.60 is: 734,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,737.40 : 821,606.10 = 489,676.60 : x
  2. Step 2: Convert to fraction form
    547,737.40/821,606.10 = 489,676.60/x
  3. Step 3: Cross multiply
    547,737.40x = 821,606.10 × 489,676.60
  4. Step 4: Simplify right side
    547,737.40x = 402,321,281,587.26
  5. Step 5: Solve for x
    x = 402,321,281,587.26/547,737.40
  6. Step 6: Final answer
    x = 734,514.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.