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Finding the Fourth Proportional to 565,211.38, 846,829.83 and 471,046.68

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Solution

The fourth proportional to 565,211.38, 846,829.83 and 471,046.68 is: 705,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,211.38 : 846,829.83 = 471,046.68 : x
  2. Step 2: Convert to fraction form
    565,211.38/846,829.83 = 471,046.68/x
  3. Step 3: Cross multiply
    565,211.38x = 846,829.83 × 471,046.68
  4. Step 4: Simplify right side
    565,211.38x = 398,896,378,537.28
  5. Step 5: Solve for x
    x = 398,896,378,537.28/565,211.38
  6. Step 6: Final answer
    x = 705,747.26

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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.