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Finding the Fourth Proportional to 705,433.50, 973,777.23 and 490,698.18

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Solution

The fourth proportional to 705,433.50, 973,777.23 and 490,698.18 is: 677,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,433.50 : 973,777.23 = 490,698.18 : x
  2. Step 2: Convert to fraction form
    705,433.50/973,777.23 = 490,698.18/x
  3. Step 3: Cross multiply
    705,433.50x = 973,777.23 × 490,698.18
  4. Step 4: Simplify right side
    705,433.50x = 477,830,714,486.44
  5. Step 5: Solve for x
    x = 477,830,714,486.44/705,433.50
  6. Step 6: Final answer
    x = 677,357.56

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