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Finding the Fourth Proportional to 497,768.60, 746,652.90 and 470,811.80

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Solution

The fourth proportional to 497,768.60, 746,652.90 and 470,811.80 is: 706,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,768.60 : 746,652.90 = 470,811.80 : x
  2. Step 2: Convert to fraction form
    497,768.60/746,652.90 = 470,811.80/x
  3. Step 3: Cross multiply
    497,768.60x = 746,652.90 × 470,811.80
  4. Step 4: Simplify right side
    497,768.60x = 351,532,995,824.22
  5. Step 5: Solve for x
    x = 351,532,995,824.22/497,768.60
  6. Step 6: Final answer
    x = 706,217.70

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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.