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Finding the Fourth Proportional to 462,944.79, 694,043.47 and 425,577.80

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Solution

The fourth proportional to 462,944.79, 694,043.47 and 425,577.80 is: 638,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,944.79 : 694,043.47 = 425,577.80 : x
  2. Step 2: Convert to fraction form
    462,944.79/694,043.47 = 425,577.80/x
  3. Step 3: Cross multiply
    462,944.79x = 694,043.47 × 425,577.80
  4. Step 4: Simplify right side
    462,944.79x = 295,369,493,066.97
  5. Step 5: Solve for x
    x = 295,369,493,066.97/462,944.79
  6. Step 6: Final answer
    x = 638,023.15

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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.