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Finding the Fourth Proportional to 705,116.75, 973,077.50 and 418,637.57

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Solution

The fourth proportional to 705,116.75, 973,077.50 and 418,637.57 is: 577,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,116.75 : 973,077.50 = 418,637.57 : x
  2. Step 2: Convert to fraction form
    705,116.75/973,077.50 = 418,637.57/x
  3. Step 3: Cross multiply
    705,116.75x = 973,077.50 × 418,637.57
  4. Step 4: Simplify right side
    705,116.75x = 407,366,796,202.88
  5. Step 5: Solve for x
    x = 407,366,796,202.88/705,116.75
  6. Step 6: Final answer
    x = 577,729.57

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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.