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Finding the Fourth Proportional to 497,734.60, 746,601.90 and 470,777.80

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Solution

The fourth proportional to 497,734.60, 746,601.90 and 470,777.80 is: 706,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,734.60 : 746,601.90 = 470,777.80 : x
  2. Step 2: Convert to fraction form
    497,734.60/746,601.90 = 470,777.80/x
  3. Step 3: Cross multiply
    497,734.60x = 746,601.90 × 470,777.80
  4. Step 4: Simplify right side
    497,734.60x = 351,483,599,957.82
  5. Step 5: Solve for x
    x = 351,483,599,957.82/497,734.60
  6. Step 6: Final answer
    x = 706,166.70

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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.