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Finding the Fourth Proportional to 471,211.32, 706,813.68 and 190,724.52

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Solution

The fourth proportional to 471,211.32, 706,813.68 and 190,724.52 is: 286,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,211.32 : 706,813.68 = 190,724.52 : x
  2. Step 2: Convert to fraction form
    471,211.32/706,813.68 = 190,724.52/x
  3. Step 3: Cross multiply
    471,211.32x = 706,813.68 × 190,724.52
  4. Step 4: Simplify right side
    471,211.32x = 134,806,699,847.43
  5. Step 5: Solve for x
    x = 134,806,699,847.43/471,211.32
  6. Step 6: Final answer
    x = 286,085.44

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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.