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Finding the Fourth Proportional to 547,616.90, 821,348.55 and 173,677.70

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Solution

The fourth proportional to 547,616.90, 821,348.55 and 173,677.70 is: 260,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,616.90 : 821,348.55 = 173,677.70 : x
  2. Step 2: Convert to fraction form
    547,616.90/821,348.55 = 173,677.70/x
  3. Step 3: Cross multiply
    547,616.90x = 821,348.55 × 173,677.70
  4. Step 4: Simplify right side
    547,616.90x = 142,649,927,062.34
  5. Step 5: Solve for x
    x = 142,649,927,062.34/547,616.90
  6. Step 6: Final answer
    x = 260,492.19

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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.