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Finding the Fourth Proportional to 705,643.20, 973,759.68 and 419,155.68

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Solution

The fourth proportional to 705,643.20, 973,759.68 and 419,155.68 is: 578,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,643.20 : 973,759.68 = 419,155.68 : x
  2. Step 2: Convert to fraction form
    705,643.20/973,759.68 = 419,155.68/x
  3. Step 3: Cross multiply
    705,643.20x = 973,759.68 × 419,155.68
  4. Step 4: Simplify right side
    705,643.20x = 408,156,900,826.98
  5. Step 5: Solve for x
    x = 408,156,900,826.98/705,643.20
  6. Step 6: Final answer
    x = 578,418.24

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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.