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Finding the Fourth Proportional to 471,723.86, 650,986.71 and 256,868.12

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Solution

The fourth proportional to 471,723.86, 650,986.71 and 256,868.12 is: 354,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,723.86 : 650,986.71 = 256,868.12 : x
  2. Step 2: Convert to fraction form
    471,723.86/650,986.71 = 256,868.12/x
  3. Step 3: Cross multiply
    471,723.86x = 650,986.71 × 256,868.12
  4. Step 4: Simplify right side
    471,723.86x = 167,217,733,006.90
  5. Step 5: Solve for x
    x = 167,217,733,006.90/471,723.86
  6. Step 6: Final answer
    x = 354,482.24

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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.