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Finding the Fourth Proportional to 705,629.90, 973,852.73 and 419,151.12

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Solution

The fourth proportional to 705,629.90, 973,852.73 and 419,151.12 is: 578,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,629.90 : 973,852.73 = 419,151.12 : x
  2. Step 2: Convert to fraction form
    705,629.90/973,852.73 = 419,151.12/x
  3. Step 3: Cross multiply
    705,629.90x = 973,852.73 × 419,151.12
  4. Step 4: Simplify right side
    705,629.90x = 408,191,462,494.56
  5. Step 5: Solve for x
    x = 408,191,462,494.56/705,629.90
  6. Step 6: Final answer
    x = 578,478.13

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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.