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Finding the Fourth Proportional to 471,071.60, 650,129.49 and 412,391.66

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Solution

The fourth proportional to 471,071.60, 650,129.49 and 412,391.66 is: 569,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,071.60 : 650,129.49 = 412,391.66 : x
  2. Step 2: Convert to fraction form
    471,071.60/650,129.49 = 412,391.66/x
  3. Step 3: Cross multiply
    471,071.60x = 650,129.49 × 412,391.66
  4. Step 4: Simplify right side
    471,071.60x = 268,107,976,345.41
  5. Step 5: Solve for x
    x = 268,107,976,345.41/471,071.60
  6. Step 6: Final answer
    x = 569,144.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.