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Finding the Fourth Proportional to 557,698.20, 835,625.70 and 474,754.20

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Solution

The fourth proportional to 557,698.20, 835,625.70 and 474,754.20 is: 711,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,698.20 : 835,625.70 = 474,754.20 : x
  2. Step 2: Convert to fraction form
    557,698.20/835,625.70 = 474,754.20/x
  3. Step 3: Cross multiply
    557,698.20x = 835,625.70 × 474,754.20
  4. Step 4: Simplify right side
    557,698.20x = 396,716,810,702.94
  5. Step 5: Solve for x
    x = 396,716,810,702.94/557,698.20
  6. Step 6: Final answer
    x = 711,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.