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Finding the Fourth Proportional to 497,756.60, 746,634.90 and 470,799.80

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Solution

The fourth proportional to 497,756.60, 746,634.90 and 470,799.80 is: 706,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,756.60 : 746,634.90 = 470,799.80 : x
  2. Step 2: Convert to fraction form
    497,756.60/746,634.90 = 470,799.80/x
  3. Step 3: Cross multiply
    497,756.60x = 746,634.90 × 470,799.80
  4. Step 4: Simplify right side
    497,756.60x = 351,515,561,593.02
  5. Step 5: Solve for x
    x = 351,515,561,593.02/497,756.60
  6. Step 6: Final answer
    x = 706,199.70

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1.5x scale

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.