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Finding the Fourth Proportional to 705,149.82, 973,907.96 and 475,310.70

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Solution

The fourth proportional to 705,149.82, 973,907.96 and 475,310.70 is: 656,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,149.82 : 973,907.96 = 475,310.70 : x
  2. Step 2: Convert to fraction form
    705,149.82/973,907.96 = 475,310.70/x
  3. Step 3: Cross multiply
    705,149.82x = 973,907.96 × 475,310.70
  4. Step 4: Simplify right side
    705,149.82x = 462,908,871,826.62
  5. Step 5: Solve for x
    x = 462,908,871,826.62/705,149.82
  6. Step 6: Final answer
    x = 656,468.82

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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.