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Finding the Fourth Proportional to 634,711.85, 875,672.49 and 417,037.78

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Solution

The fourth proportional to 634,711.85, 875,672.49 and 417,037.78 is: 575,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,711.85 : 875,672.49 = 417,037.78 : x
  2. Step 2: Convert to fraction form
    634,711.85/875,672.49 = 417,037.78/x
  3. Step 3: Cross multiply
    634,711.85x = 875,672.49 × 417,037.78
  4. Step 4: Simplify right side
    634,711.85x = 365,188,511,236.67
  5. Step 5: Solve for x
    x = 365,188,511,236.67/634,711.85
  6. Step 6: Final answer
    x = 575,361.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.