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Finding the Fourth Proportional to 705,801.82, 973,896.87 and 419,314.54

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Solution

The fourth proportional to 705,801.82, 973,896.87 and 419,314.54 is: 578,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,801.82 : 973,896.87 = 419,314.54 : x
  2. Step 2: Convert to fraction form
    705,801.82/973,896.87 = 419,314.54/x
  3. Step 3: Cross multiply
    705,801.82x = 973,896.87 × 419,314.54
  4. Step 4: Simplify right side
    705,801.82x = 408,369,118,051.49
  5. Step 5: Solve for x
    x = 408,369,118,051.49/705,801.82
  6. Step 6: Final answer
    x = 578,588.93

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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.