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Finding the Fourth Proportional to 497,755.60, 746,633.40 and 470,798.80

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Solution

The fourth proportional to 497,755.60, 746,633.40 and 470,798.80 is: 706,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,755.60 : 746,633.40 = 470,798.80 : x
  2. Step 2: Convert to fraction form
    497,755.60/746,633.40 = 470,798.80/x
  3. Step 3: Cross multiply
    497,755.60x = 746,633.40 × 470,798.80
  4. Step 4: Simplify right side
    497,755.60x = 351,514,108,759.92
  5. Step 5: Solve for x
    x = 351,514,108,759.92/497,755.60
  6. Step 6: Final answer
    x = 706,198.20

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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.