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Finding the Fourth Proportional to 497,744.10, 746,616.15 and 470,787.30

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Solution

The fourth proportional to 497,744.10, 746,616.15 and 470,787.30 is: 706,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,744.10 : 746,616.15 = 470,787.30 : x
  2. Step 2: Convert to fraction form
    497,744.10/746,616.15 = 470,787.30/x
  3. Step 3: Cross multiply
    497,744.10x = 746,616.15 × 470,787.30
  4. Step 4: Simplify right side
    497,744.10x = 351,497,401,394.90
  5. Step 5: Solve for x
    x = 351,497,401,394.90/497,744.10
  6. Step 6: Final answer
    x = 706,180.95

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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.